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Finding the Fourth Proportional to 138,411.69, 207,543.70 and 71,686.32

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Solution

The fourth proportional to 138,411.69, 207,543.70 and 71,686.32 is: 107,491.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.69 : 207,543.70 = 71,686.32 : x
  2. Step 2: Convert to fraction form
    138,411.69/207,543.70 = 71,686.32/x
  3. Step 3: Cross multiply
    138,411.69x = 207,543.70 × 71,686.32
  4. Step 4: Simplify right side
    138,411.69x = 14,878,043,403.50
  5. Step 5: Solve for x
    x = 14,878,043,403.50/138,411.69
  6. Step 6: Final answer
    x = 107,491.24

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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.