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Finding the Fourth Proportional to 81.40, 112.48 and 62.96

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Solution

The fourth proportional to 81.40, 112.48 and 62.96 is: 87.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.40 : 112.48 = 62.96 : x
  2. Step 2: Convert to fraction form
    81.40/112.48 = 62.96/x
  3. Step 3: Cross multiply
    81.40x = 112.48 × 62.96
  4. Step 4: Simplify right side
    81.40x = 7,081.74
  5. Step 5: Solve for x
    x = 7,081.74/81.40
  6. Step 6: Final answer
    x = 87.00

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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.