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Finding the Fourth Proportional to 131,100, 180,933.44 and 74,519.84

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Solution

The fourth proportional to 131,100, 180,933.44 and 74,519.84 is: 102,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,100 : 180,933.44 = 74,519.84 : x
  2. Step 2: Convert to fraction form
    131,100/180,933.44 = 74,519.84/x
  3. Step 3: Cross multiply
    131,100x = 180,933.44 × 74,519.84
  4. Step 4: Simplify right side
    131,100x = 13,483,130,999.45
  5. Step 5: Solve for x
    x = 13,483,130,999.45/131,100
  6. Step 6: Final answer
    x = 102,846.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.