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Finding the Fourth Proportional to 61.07, 91.40 and 47.57

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Solution

The fourth proportional to 61.07, 91.40 and 47.57 is: 71.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.07 : 91.40 = 47.57 : x
  2. Step 2: Convert to fraction form
    61.07/91.40 = 47.57/x
  3. Step 3: Cross multiply
    61.07x = 91.40 × 47.57
  4. Step 4: Simplify right side
    61.07x = 4,347.20
  5. Step 5: Solve for x
    x = 4,347.20/61.07
  6. Step 6: Final answer
    x = 71.19

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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.