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Finding the Fourth Proportional to 142,711.20, 214,069.20 and 54,006.48

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Solution

The fourth proportional to 142,711.20, 214,069.20 and 54,006.48 is: 81,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.20 : 214,069.20 = 54,006.48 : x
  2. Step 2: Convert to fraction form
    142,711.20/214,069.20 = 54,006.48/x
  3. Step 3: Cross multiply
    142,711.20x = 214,069.20 × 54,006.48
  4. Step 4: Simplify right side
    142,711.20x = 11,561,123,968.42
  5. Step 5: Solve for x
    x = 11,561,123,968.42/142,711.20
  6. Step 6: Final answer
    x = 81,010.63

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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.