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Finding the Fourth Proportional to 61.86, 85.26 and 57.14

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Solution

The fourth proportional to 61.86, 85.26 and 57.14 is: 78.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.86 : 85.26 = 57.14 : x
  2. Step 2: Convert to fraction form
    61.86/85.26 = 57.14/x
  3. Step 3: Cross multiply
    61.86x = 85.26 × 57.14
  4. Step 4: Simplify right side
    61.86x = 4,871.76
  5. Step 5: Solve for x
    x = 4,871.76/61.86
  6. Step 6: Final answer
    x = 78.75

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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.