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Finding the Fourth Proportional to 127,046.91, 190,531.35 and 87,855.87

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Solution

The fourth proportional to 127,046.91, 190,531.35 and 87,855.87 is: 131,756.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,046.91 : 190,531.35 = 87,855.87 : x
  2. Step 2: Convert to fraction form
    127,046.91/190,531.35 = 87,855.87/x
  3. Step 3: Cross multiply
    127,046.91x = 190,531.35 × 87,855.87
  4. Step 4: Simplify right side
    127,046.91x = 16,739,297,516.52
  5. Step 5: Solve for x
    x = 16,739,297,516.52/127,046.91
  6. Step 6: Final answer
    x = 131,756.83

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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.