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Finding the Fourth Proportional to 129,746, 194,617.84 and 40,999.52

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Solution

The fourth proportional to 129,746, 194,617.84 and 40,999.52 is: 61,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,746 : 194,617.84 = 40,999.52 : x
  2. Step 2: Convert to fraction form
    129,746/194,617.84 = 40,999.52/x
  3. Step 3: Cross multiply
    129,746x = 194,617.84 × 40,999.52
  4. Step 4: Simplify right side
    129,746x = 7,979,238,023.44
  5. Step 5: Solve for x
    x = 7,979,238,023.44/129,746
  6. Step 6: Final answer
    x = 61,498.91

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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.