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Finding the Fourth Proportional to 138,411.87, 207,868.10 and 127,870.53

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Solution

The fourth proportional to 138,411.87, 207,868.10 and 127,870.53 is: 192,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,411.87 : 207,868.10 = 127,870.53 : x
  2. Step 2: Convert to fraction form
    138,411.87/207,868.10 = 127,870.53/x
  3. Step 3: Cross multiply
    138,411.87x = 207,868.10 × 127,870.53
  4. Step 4: Simplify right side
    138,411.87x = 26,580,203,477.74
  5. Step 5: Solve for x
    x = 26,580,203,477.74/138,411.87
  6. Step 6: Final answer
    x = 192,037.02

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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.