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Finding the Fourth Proportional to 91,609.80, 137,414.70 and 28,429.80

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Solution

The fourth proportional to 91,609.80, 137,414.70 and 28,429.80 is: 42,644.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,609.80 : 137,414.70 = 28,429.80 : x
  2. Step 2: Convert to fraction form
    91,609.80/137,414.70 = 28,429.80/x
  3. Step 3: Cross multiply
    91,609.80x = 137,414.70 × 28,429.80
  4. Step 4: Simplify right side
    91,609.80x = 3,906,672,438.06
  5. Step 5: Solve for x
    x = 3,906,672,438.06/91,609.80
  6. Step 6: Final answer
    x = 42,644.70

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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.