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Finding the Fourth Proportional to 124.66, 172.00 and 74.87

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Solution

The fourth proportional to 124.66, 172.00 and 74.87 is: 103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 172.00 = 74.87 : x
  2. Step 2: Convert to fraction form
    124.66/172.00 = 74.87/x
  3. Step 3: Cross multiply
    124.66x = 172.00 × 74.87
  4. Step 4: Simplify right side
    124.66x = 12,877.52
  5. Step 5: Solve for x
    x = 12,877.52/124.66
  6. Step 6: Final answer
    x = 103.30

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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.