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Finding the Fourth Proportional to 106,314.52, 159,472.01 and 99,819.13

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Solution

The fourth proportional to 106,314.52, 159,472.01 and 99,819.13 is: 149,728.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,314.52 : 159,472.01 = 99,819.13 : x
  2. Step 2: Convert to fraction form
    106,314.52/159,472.01 = 99,819.13/x
  3. Step 3: Cross multiply
    106,314.52x = 159,472.01 × 99,819.13
  4. Step 4: Simplify right side
    106,314.52x = 15,918,356,798.46
  5. Step 5: Solve for x
    x = 15,918,356,798.46/106,314.52
  6. Step 6: Final answer
    x = 149,728.91

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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.