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Finding the Fourth Proportional to 99.61, 149.87 and 59.06

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Solution

The fourth proportional to 99.61, 149.87 and 59.06 is: 88.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.61 : 149.87 = 59.06 : x
  2. Step 2: Convert to fraction form
    99.61/149.87 = 59.06/x
  3. Step 3: Cross multiply
    99.61x = 149.87 × 59.06
  4. Step 4: Simplify right side
    99.61x = 8,850.67
  5. Step 5: Solve for x
    x = 8,850.67/99.61
  6. Step 6: Final answer
    x = 88.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.