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Finding the Fourth Proportional to 124.16, 171.31 and 77.47

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Solution

The fourth proportional to 124.16, 171.31 and 77.47 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.16 : 171.31 = 77.47 : x
  2. Step 2: Convert to fraction form
    124.16/171.31 = 77.47/x
  3. Step 3: Cross multiply
    124.16x = 171.31 × 77.47
  4. Step 4: Simplify right side
    124.16x = 13,271.39
  5. Step 5: Solve for x
    x = 13,271.39/124.16
  6. Step 6: Final answer
    x = 106.89

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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.