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Finding the Fourth Proportional to 205,716.38, 308,574.58 and 87,304.70

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Solution

The fourth proportional to 205,716.38, 308,574.58 and 87,304.70 is: 130,957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,716.38 : 308,574.58 = 87,304.70 : x
  2. Step 2: Convert to fraction form
    205,716.38/308,574.58 = 87,304.70/x
  3. Step 3: Cross multiply
    205,716.38x = 308,574.58 × 87,304.70
  4. Step 4: Simplify right side
    205,716.38x = 26,940,011,134.53
  5. Step 5: Solve for x
    x = 26,940,011,134.53/205,716.38
  6. Step 6: Final answer
    x = 130,957.05

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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.