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Finding the Fourth Proportional to 129,227.61, 194,062.85 and 70,178.61

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Solution

The fourth proportional to 129,227.61, 194,062.85 and 70,178.61 is: 105,388.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,227.61 : 194,062.85 = 70,178.61 : x
  2. Step 2: Convert to fraction form
    129,227.61/194,062.85 = 70,178.61/x
  3. Step 3: Cross multiply
    129,227.61x = 194,062.85 × 70,178.61
  4. Step 4: Simplify right side
    129,227.61x = 13,619,061,065.64
  5. Step 5: Solve for x
    x = 13,619,061,065.64/129,227.61
  6. Step 6: Final answer
    x = 105,388.17

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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.