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Finding the Fourth Proportional to 65,137.96, 97,720.98 and 20,159.20

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Solution

The fourth proportional to 65,137.96, 97,720.98 and 20,159.20 is: 30,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,137.96 : 97,720.98 = 20,159.20 : x
  2. Step 2: Convert to fraction form
    65,137.96/97,720.98 = 20,159.20/x
  3. Step 3: Cross multiply
    65,137.96x = 97,720.98 × 20,159.20
  4. Step 4: Simplify right side
    65,137.96x = 1,969,976,780.02
  5. Step 5: Solve for x
    x = 1,969,976,780.02/65,137.96
  6. Step 6: Final answer
    x = 30,243.15

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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.