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Finding the Fourth Proportional to 100.59, 151.12 and 77.70

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Solution

The fourth proportional to 100.59, 151.12 and 77.70 is: 116.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.59 : 151.12 = 77.70 : x
  2. Step 2: Convert to fraction form
    100.59/151.12 = 77.70/x
  3. Step 3: Cross multiply
    100.59x = 151.12 × 77.70
  4. Step 4: Simplify right side
    100.59x = 11,741.83
  5. Step 5: Solve for x
    x = 11,741.83/100.59
  6. Step 6: Final answer
    x = 116.73

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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.