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Finding the Fourth Proportional to 124.56, 171.74 and 101.16

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Solution

The fourth proportional to 124.56, 171.74 and 101.16 is: 139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.56 : 171.74 = 101.16 : x
  2. Step 2: Convert to fraction form
    124.56/171.74 = 101.16/x
  3. Step 3: Cross multiply
    124.56x = 171.74 × 101.16
  4. Step 4: Simplify right side
    124.56x = 17,372.71
  5. Step 5: Solve for x
    x = 17,372.71/124.56
  6. Step 6: Final answer
    x = 139.47

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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.