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Finding the Fourth Proportional to 137,562.99, 206,402.81 and 75,160.59

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Solution

The fourth proportional to 137,562.99, 206,402.81 and 75,160.59 is: 112,772.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,562.99 : 206,402.81 = 75,160.59 : x
  2. Step 2: Convert to fraction form
    137,562.99/206,402.81 = 75,160.59/x
  3. Step 3: Cross multiply
    137,562.99x = 206,402.81 × 75,160.59
  4. Step 4: Simplify right side
    137,562.99x = 15,513,356,601.45
  5. Step 5: Solve for x
    x = 15,513,356,601.45/137,562.99
  6. Step 6: Final answer
    x = 112,772.75

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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.