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Finding the Fourth Proportional to 99.91, 137.78 and 63.07

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Solution

The fourth proportional to 99.91, 137.78 and 63.07 is: 86.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.91 : 137.78 = 63.07 : x
  2. Step 2: Convert to fraction form
    99.91/137.78 = 63.07/x
  3. Step 3: Cross multiply
    99.91x = 137.78 × 63.07
  4. Step 4: Simplify right side
    99.91x = 8,689.12
  5. Step 5: Solve for x
    x = 8,689.12/99.91
  6. Step 6: Final answer
    x = 86.97

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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.