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Finding the Fourth Proportional to 124.78, 172.13 and 73.02

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Solution

The fourth proportional to 124.78, 172.13 and 73.02 is: 100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.78 : 172.13 = 73.02 : x
  2. Step 2: Convert to fraction form
    124.78/172.13 = 73.02/x
  3. Step 3: Cross multiply
    124.78x = 172.13 × 73.02
  4. Step 4: Simplify right side
    124.78x = 12,568.93
  5. Step 5: Solve for x
    x = 12,568.93/124.78
  6. Step 6: Final answer
    x = 100.73

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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.