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Finding the Fourth Proportional to 138,496.16, 207,744.72 and 40,000.16

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Solution

The fourth proportional to 138,496.16, 207,744.72 and 40,000.16 is: 60,000.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,496.16 : 207,744.72 = 40,000.16 : x
  2. Step 2: Convert to fraction form
    138,496.16/207,744.72 = 40,000.16/x
  3. Step 3: Cross multiply
    138,496.16x = 207,744.72 × 40,000.16
  4. Step 4: Simplify right side
    138,496.16x = 8,309,822,039.16
  5. Step 5: Solve for x
    x = 8,309,822,039.16/138,496.16
  6. Step 6: Final answer
    x = 60,000.38

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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.