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Finding the Fourth Proportional to 138,624.68, 207,792.29 and 100,582.04

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Solution

The fourth proportional to 138,624.68, 207,792.29 and 100,582.04 is: 150,768.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,624.68 : 207,792.29 = 100,582.04 : x
  2. Step 2: Convert to fraction form
    138,624.68/207,792.29 = 100,582.04/x
  3. Step 3: Cross multiply
    138,624.68x = 207,792.29 × 100,582.04
  4. Step 4: Simplify right side
    138,624.68x = 20,900,171,636.97
  5. Step 5: Solve for x
    x = 20,900,171,636.97/138,624.68
  6. Step 6: Final answer
    x = 150,768.05

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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.