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Finding the Fourth Proportional to 101,908.60, 152,862.90 and 31,787.80

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Solution

The fourth proportional to 101,908.60, 152,862.90 and 31,787.80 is: 47,681.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,908.60 : 152,862.90 = 31,787.80 : x
  2. Step 2: Convert to fraction form
    101,908.60/152,862.90 = 31,787.80/x
  3. Step 3: Cross multiply
    101,908.60x = 152,862.90 × 31,787.80
  4. Step 4: Simplify right side
    101,908.60x = 4,859,175,292.62
  5. Step 5: Solve for x
    x = 4,859,175,292.62/101,908.60
  6. Step 6: Final answer
    x = 47,681.70

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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.