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Finding the Fourth Proportional to 151.61, 209.14 and 86.10

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Solution

The fourth proportional to 151.61, 209.14 and 86.10 is: 118.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.61 : 209.14 = 86.10 : x
  2. Step 2: Convert to fraction form
    151.61/209.14 = 86.10/x
  3. Step 3: Cross multiply
    151.61x = 209.14 × 86.10
  4. Step 4: Simplify right side
    151.61x = 18,007.52
  5. Step 5: Solve for x
    x = 18,007.52/151.61
  6. Step 6: Final answer
    x = 118.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.