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Finding the Fourth Proportional to 129,744.30, 194,616.45 and 70,695.30

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Solution

The fourth proportional to 129,744.30, 194,616.45 and 70,695.30 is: 106,042.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744.30 : 194,616.45 = 70,695.30 : x
  2. Step 2: Convert to fraction form
    129,744.30/194,616.45 = 70,695.30/x
  3. Step 3: Cross multiply
    129,744.30x = 194,616.45 × 70,695.30
  4. Step 4: Simplify right side
    129,744.30x = 13,758,468,317.69
  5. Step 5: Solve for x
    x = 13,758,468,317.69/129,744.30
  6. Step 6: Final answer
    x = 106,042.95

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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.