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Finding the Fourth Proportional to 138,792.28, 191,522.19 and 78,377.62

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Solution

The fourth proportional to 138,792.28, 191,522.19 and 78,377.62 is: 108,154.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,792.28 : 191,522.19 = 78,377.62 : x
  2. Step 2: Convert to fraction form
    138,792.28/191,522.19 = 78,377.62/x
  3. Step 3: Cross multiply
    138,792.28x = 191,522.19 × 78,377.62
  4. Step 4: Simplify right side
    138,792.28x = 15,011,053,429.39
  5. Step 5: Solve for x
    x = 15,011,053,429.39/138,792.28
  6. Step 6: Final answer
    x = 108,154.82

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1.5x scale

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.