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Finding the Fourth Proportional to 123,862.98, 170,905.82 and 75,432.44

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Solution

The fourth proportional to 123,862.98, 170,905.82 and 75,432.44 is: 104,081.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,862.98 : 170,905.82 = 75,432.44 : x
  2. Step 2: Convert to fraction form
    123,862.98/170,905.82 = 75,432.44/x
  3. Step 3: Cross multiply
    123,862.98x = 170,905.82 × 75,432.44
  4. Step 4: Simplify right side
    123,862.98x = 12,891,843,012.80
  5. Step 5: Solve for x
    x = 12,891,843,012.80/123,862.98
  6. Step 6: Final answer
    x = 104,081.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.