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Finding the Fourth Proportional to 129,896.91, 194,947.29 and 66,714.48

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Solution

The fourth proportional to 129,896.91, 194,947.29 and 66,714.48 is: 100,124.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,896.91 : 194,947.29 = 66,714.48 : x
  2. Step 2: Convert to fraction form
    129,896.91/194,947.29 = 66,714.48/x
  3. Step 3: Cross multiply
    129,896.91x = 194,947.29 × 66,714.48
  4. Step 4: Simplify right side
    129,896.91x = 13,005,807,079.76
  5. Step 5: Solve for x
    x = 13,005,807,079.76/129,896.91
  6. Step 6: Final answer
    x = 100,124.07

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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.