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Finding the Fourth Proportional to 147,272.88, 220,843.68 and 53,713

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Solution

The fourth proportional to 147,272.88, 220,843.68 and 53,713 is: 80,545.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,272.88 : 220,843.68 = 53,713 : x
  2. Step 2: Convert to fraction form
    147,272.88/220,843.68 = 53,713/x
  3. Step 3: Cross multiply
    147,272.88x = 220,843.68 × 53,713
  4. Step 4: Simplify right side
    147,272.88x = 11,862,176,583.84
  5. Step 5: Solve for x
    x = 11,862,176,583.84/147,272.88
  6. Step 6: Final answer
    x = 80,545.56

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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.