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Finding the Fourth Proportional to 62.61, 93.66 and 54.14

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Solution

The fourth proportional to 62.61, 93.66 and 54.14 is: 80.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.61 : 93.66 = 54.14 : x
  2. Step 2: Convert to fraction form
    62.61/93.66 = 54.14/x
  3. Step 3: Cross multiply
    62.61x = 93.66 × 54.14
  4. Step 4: Simplify right side
    62.61x = 5,070.20
  5. Step 5: Solve for x
    x = 5,070.20/62.61
  6. Step 6: Final answer
    x = 80.99

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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.