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Finding the Fourth Proportional to 138,626.94, 207,953.50 and 38,787.14

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Solution

The fourth proportional to 138,626.94, 207,953.50 and 38,787.14 is: 58,184.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,626.94 : 207,953.50 = 38,787.14 : x
  2. Step 2: Convert to fraction form
    138,626.94/207,953.50 = 38,787.14/x
  3. Step 3: Cross multiply
    138,626.94x = 207,953.50 × 38,787.14
  4. Step 4: Simplify right side
    138,626.94x = 8,065,921,517.99
  5. Step 5: Solve for x
    x = 8,065,921,517.99/138,626.94
  6. Step 6: Final answer
    x = 58,184.37

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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.