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Finding the Fourth Proportional to 124.76, 172.14 and 87.86

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Solution

The fourth proportional to 124.76, 172.14 and 87.86 is: 121.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 172.14 = 87.86 : x
  2. Step 2: Convert to fraction form
    124.76/172.14 = 87.86/x
  3. Step 3: Cross multiply
    124.76x = 172.14 × 87.86
  4. Step 4: Simplify right side
    124.76x = 15,124.22
  5. Step 5: Solve for x
    x = 15,124.22/124.76
  6. Step 6: Final answer
    x = 121.23

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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.