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Finding the Fourth Proportional to 85,149.48, 127,724.22 and 47,691.84

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Solution

The fourth proportional to 85,149.48, 127,724.22 and 47,691.84 is: 71,537.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,149.48 : 127,724.22 = 47,691.84 : x
  2. Step 2: Convert to fraction form
    85,149.48/127,724.22 = 47,691.84/x
  3. Step 3: Cross multiply
    85,149.48x = 127,724.22 × 47,691.84
  4. Step 4: Simplify right side
    85,149.48x = 6,091,403,064.36
  5. Step 5: Solve for x
    x = 6,091,403,064.36/85,149.48
  6. Step 6: Final answer
    x = 71,537.76

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1.5x scale

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.