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Finding the Fourth Proportional to 125,203.78, 187,806 and 36,459.46

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Solution

The fourth proportional to 125,203.78, 187,806 and 36,459.46 is: 54,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,203.78 : 187,806 = 36,459.46 : x
  2. Step 2: Convert to fraction form
    125,203.78/187,806 = 36,459.46/x
  3. Step 3: Cross multiply
    125,203.78x = 187,806 × 36,459.46
  4. Step 4: Simplify right side
    125,203.78x = 6,847,304,405.73
  5. Step 5: Solve for x
    x = 6,847,304,405.73/125,203.78
  6. Step 6: Final answer
    x = 54,689.28

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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.