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Finding the Fourth Proportional to 123,972.48, 185,900.16 and 45,031.68

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Solution

The fourth proportional to 123,972.48, 185,900.16 and 45,031.68 is: 67,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,972.48 : 185,900.16 = 45,031.68 : x
  2. Step 2: Convert to fraction form
    123,972.48/185,900.16 = 45,031.68/x
  3. Step 3: Cross multiply
    123,972.48x = 185,900.16 × 45,031.68
  4. Step 4: Simplify right side
    123,972.48x = 8,371,396,517.07
  5. Step 5: Solve for x
    x = 8,371,396,517.07/123,972.48
  6. Step 6: Final answer
    x = 67,526.25

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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.