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Finding the Fourth Proportional to 99.05, 147.53 and 89.87

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Solution

The fourth proportional to 99.05, 147.53 and 89.87 is: 133.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.05 : 147.53 = 89.87 : x
  2. Step 2: Convert to fraction form
    99.05/147.53 = 89.87/x
  3. Step 3: Cross multiply
    99.05x = 147.53 × 89.87
  4. Step 4: Simplify right side
    99.05x = 13,258.01
  5. Step 5: Solve for x
    x = 13,258.01/99.05
  6. Step 6: Final answer
    x = 133.86

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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.