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Finding the Fourth Proportional to 205,156.87, 307,869.86 and 72,033.70

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Solution

The fourth proportional to 205,156.87, 307,869.86 and 72,033.70 is: 108,097.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,156.87 : 307,869.86 = 72,033.70 : x
  2. Step 2: Convert to fraction form
    205,156.87/307,869.86 = 72,033.70/x
  3. Step 3: Cross multiply
    205,156.87x = 307,869.86 × 72,033.70
  4. Step 4: Simplify right side
    205,156.87x = 22,177,005,134.28
  5. Step 5: Solve for x
    x = 22,177,005,134.28/205,156.87
  6. Step 6: Final answer
    x = 108,097.79

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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.