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Finding the Fourth Proportional to 99.56, 148.70 and 81.32

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Solution

The fourth proportional to 99.56, 148.70 and 81.32 is: 121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.56 : 148.70 = 81.32 : x
  2. Step 2: Convert to fraction form
    99.56/148.70 = 81.32/x
  3. Step 3: Cross multiply
    99.56x = 148.70 × 81.32
  4. Step 4: Simplify right side
    99.56x = 12,092.28
  5. Step 5: Solve for x
    x = 12,092.28/99.56
  6. Step 6: Final answer
    x = 121.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.