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Finding the Fourth Proportional to 124.57, 171.93 and 85.78

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Solution

The fourth proportional to 124.57, 171.93 and 85.78 is: 118.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.57 : 171.93 = 85.78 : x
  2. Step 2: Convert to fraction form
    124.57/171.93 = 85.78/x
  3. Step 3: Cross multiply
    124.57x = 171.93 × 85.78
  4. Step 4: Simplify right side
    124.57x = 14,748.16
  5. Step 5: Solve for x
    x = 14,748.16/124.57
  6. Step 6: Final answer
    x = 118.39

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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.