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Finding the Fourth Proportional to 61.39, 91.60 and 57.51

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Solution

The fourth proportional to 61.39, 91.60 and 57.51 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.39 : 91.60 = 57.51 : x
  2. Step 2: Convert to fraction form
    61.39/91.60 = 57.51/x
  3. Step 3: Cross multiply
    61.39x = 91.60 × 57.51
  4. Step 4: Simplify right side
    61.39x = 5,267.46
  5. Step 5: Solve for x
    x = 5,267.46/61.39
  6. Step 6: Final answer
    x = 85.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.