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Finding the Fourth Proportional to 89,714.80, 123,778.40 and 53,912.80

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Solution

The fourth proportional to 89,714.80, 123,778.40 and 53,912.80 is: 74,382.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,714.80 : 123,778.40 = 53,912.80 : x
  2. Step 2: Convert to fraction form
    89,714.80/123,778.40 = 53,912.80/x
  3. Step 3: Cross multiply
    89,714.80x = 123,778.40 × 53,912.80
  4. Step 4: Simplify right side
    89,714.80x = 6,673,240,123.52
  5. Step 5: Solve for x
    x = 6,673,240,123.52/89,714.80
  6. Step 6: Final answer
    x = 74,382.82

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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.