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Finding the Fourth Proportional to 115,892.13, 159,912.87 and 67,502.02

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Solution

The fourth proportional to 115,892.13, 159,912.87 and 67,502.02 is: 93,142.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,892.13 : 159,912.87 = 67,502.02 : x
  2. Step 2: Convert to fraction form
    115,892.13/159,912.87 = 67,502.02/x
  3. Step 3: Cross multiply
    115,892.13x = 159,912.87 × 67,502.02
  4. Step 4: Simplify right side
    115,892.13x = 10,794,441,905.57
  5. Step 5: Solve for x
    x = 10,794,441,905.57/115,892.13
  6. Step 6: Final answer
    x = 93,142.15

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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.