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Finding the Fourth Proportional to 118,781.66, 178,153.92 and 38,819.00

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Solution

The fourth proportional to 118,781.66, 178,153.92 and 38,819.00 is: 58,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,781.66 : 178,153.92 = 38,819.00 : x
  2. Step 2: Convert to fraction form
    118,781.66/178,153.92 = 38,819.00/x
  3. Step 3: Cross multiply
    118,781.66x = 178,153.92 × 38,819.00
  4. Step 4: Simplify right side
    118,781.66x = 6,915,756,129.71
  5. Step 5: Solve for x
    x = 6,915,756,129.71/118,781.66
  6. Step 6: Final answer
    x = 58,222.42

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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.