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Finding the Fourth Proportional to 86.93, 130.49 and 61.14

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Solution

The fourth proportional to 86.93, 130.49 and 61.14 is: 91.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.93 : 130.49 = 61.14 : x
  2. Step 2: Convert to fraction form
    86.93/130.49 = 61.14/x
  3. Step 3: Cross multiply
    86.93x = 130.49 × 61.14
  4. Step 4: Simplify right side
    86.93x = 7,978.16
  5. Step 5: Solve for x
    x = 7,978.16/86.93
  6. Step 6: Final answer
    x = 91.78

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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.