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Finding the Fourth Proportional to 138,403.20, 207,604.80 and 103,411.20

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Solution

The fourth proportional to 138,403.20, 207,604.80 and 103,411.20 is: 155,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.20 : 207,604.80 = 103,411.20 : x
  2. Step 2: Convert to fraction form
    138,403.20/207,604.80 = 103,411.20/x
  3. Step 3: Cross multiply
    138,403.20x = 207,604.80 × 103,411.20
  4. Step 4: Simplify right side
    138,403.20x = 21,468,661,493.76
  5. Step 5: Solve for x
    x = 21,468,661,493.76/138,403.20
  6. Step 6: Final answer
    x = 155,116.80

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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.