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Finding the Fourth Proportional to 129,574.71, 194,037.35 and 82,046.43

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Solution

The fourth proportional to 129,574.71, 194,037.35 and 82,046.43 is: 122,864.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,574.71 : 194,037.35 = 82,046.43 : x
  2. Step 2: Convert to fraction form
    129,574.71/194,037.35 = 82,046.43/x
  3. Step 3: Cross multiply
    129,574.71x = 194,037.35 × 82,046.43
  4. Step 4: Simplify right side
    129,574.71x = 15,920,071,443.93
  5. Step 5: Solve for x
    x = 15,920,071,443.93/129,574.71
  6. Step 6: Final answer
    x = 122,864.03

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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.