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Finding the Fourth Proportional to 143,892.48, 215,901.12 and 77,254.80

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Solution

The fourth proportional to 143,892.48, 215,901.12 and 77,254.80 is: 115,915.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,892.48 : 215,901.12 = 77,254.80 : x
  2. Step 2: Convert to fraction form
    143,892.48/215,901.12 = 77,254.80/x
  3. Step 3: Cross multiply
    143,892.48x = 215,901.12 × 77,254.80
  4. Step 4: Simplify right side
    143,892.48x = 16,679,397,845.38
  5. Step 5: Solve for x
    x = 16,679,397,845.38/143,892.48
  6. Step 6: Final answer
    x = 115,915.70

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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.