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Finding the Fourth Proportional to 123,484.80, 185,270.40 and 53,414.40

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Solution

The fourth proportional to 123,484.80, 185,270.40 and 53,414.40 is: 80,140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,484.80 : 185,270.40 = 53,414.40 : x
  2. Step 2: Convert to fraction form
    123,484.80/185,270.40 = 53,414.40/x
  3. Step 3: Cross multiply
    123,484.80x = 185,270.40 × 53,414.40
  4. Step 4: Simplify right side
    123,484.80x = 9,896,107,253.76
  5. Step 5: Solve for x
    x = 9,896,107,253.76/123,484.80
  6. Step 6: Final answer
    x = 80,140.29

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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.