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Finding the Fourth Proportional to 134,012,609.80, 201,018,914.70 and 120,407,720.20

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Solution

The fourth proportional to 134,012,609.80, 201,018,914.70 and 120,407,720.20 is: 180,611,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,012,609.80 : 201,018,914.70 = 120,407,720.20 : x
  2. Step 2: Convert to fraction form
    134,012,609.80/201,018,914.70 = 120,407,720.20/x
  3. Step 3: Cross multiply
    134,012,609.80x = 201,018,914.70 × 120,407,720.20
  4. Step 4: Simplify right side
    134,012,609.80x = 24,204,229,236,105,268
  5. Step 5: Solve for x
    x = 24,204,229,236,105,268/134,012,609.80
  6. Step 6: Final answer
    x = 180,611,580.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.