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Finding the Fourth Proportional to 61.56, 85.03 and 59.42

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Solution

The fourth proportional to 61.56, 85.03 and 59.42 is: 82.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.56 : 85.03 = 59.42 : x
  2. Step 2: Convert to fraction form
    61.56/85.03 = 59.42/x
  3. Step 3: Cross multiply
    61.56x = 85.03 × 59.42
  4. Step 4: Simplify right side
    61.56x = 5,052.55
  5. Step 5: Solve for x
    x = 5,052.55/61.56
  6. Step 6: Final answer
    x = 82.08

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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.