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Finding the Fourth Proportional to 61.13, 92.14 and 57.80

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Solution

The fourth proportional to 61.13, 92.14 and 57.80 is: 87.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.13 : 92.14 = 57.80 : x
  2. Step 2: Convert to fraction form
    61.13/92.14 = 57.80/x
  3. Step 3: Cross multiply
    61.13x = 92.14 × 57.80
  4. Step 4: Simplify right side
    61.13x = 5,325.78
  5. Step 5: Solve for x
    x = 5,325.78/61.13
  6. Step 6: Final answer
    x = 87.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.