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Finding the Fourth Proportional to 71,086.11, 98,098.47 and 39,255

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Solution

The fourth proportional to 71,086.11, 98,098.47 and 39,255 is: 54,171.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,086.11 : 98,098.47 = 39,255 : x
  2. Step 2: Convert to fraction form
    71,086.11/98,098.47 = 39,255/x
  3. Step 3: Cross multiply
    71,086.11x = 98,098.47 × 39,255
  4. Step 4: Simplify right side
    71,086.11x = 3,850,855,439.85
  5. Step 5: Solve for x
    x = 3,850,855,439.85/71,086.11
  6. Step 6: Final answer
    x = 54,171.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.