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Finding the Fourth Proportional to 129,424.71, 194,169.27 and 102,870.90

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Solution

The fourth proportional to 129,424.71, 194,169.27 and 102,870.90 is: 154,331.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,424.71 : 194,169.27 = 102,870.90 : x
  2. Step 2: Convert to fraction form
    129,424.71/194,169.27 = 102,870.90/x
  3. Step 3: Cross multiply
    129,424.71x = 194,169.27 × 102,870.90
  4. Step 4: Simplify right side
    129,424.71x = 19,974,367,557.24
  5. Step 5: Solve for x
    x = 19,974,367,557.24/129,424.71
  6. Step 6: Final answer
    x = 154,331.95

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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.