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Finding the Fourth Proportional to 100.86, 151.13 and 49.53

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Solution

The fourth proportional to 100.86, 151.13 and 49.53 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.86 : 151.13 = 49.53 : x
  2. Step 2: Convert to fraction form
    100.86/151.13 = 49.53/x
  3. Step 3: Cross multiply
    100.86x = 151.13 × 49.53
  4. Step 4: Simplify right side
    100.86x = 7,485.22
  5. Step 5: Solve for x
    x = 7,485.22/100.86
  6. Step 6: Final answer
    x = 74.21

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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.