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Finding the Fourth Proportional to 99.95, 150.10 and 87.20

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Solution

The fourth proportional to 99.95, 150.10 and 87.20 is: 130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.95 : 150.10 = 87.20 : x
  2. Step 2: Convert to fraction form
    99.95/150.10 = 87.20/x
  3. Step 3: Cross multiply
    99.95x = 150.10 × 87.20
  4. Step 4: Simplify right side
    99.95x = 13,087.75
  5. Step 5: Solve for x
    x = 13,087.75/99.95
  6. Step 6: Final answer
    x = 130.95

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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.