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Finding the Fourth Proportional to 124.81, 172.05 and 105.10

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Solution

The fourth proportional to 124.81, 172.05 and 105.10 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.81 : 172.05 = 105.10 : x
  2. Step 2: Convert to fraction form
    124.81/172.05 = 105.10/x
  3. Step 3: Cross multiply
    124.81x = 172.05 × 105.10
  4. Step 4: Simplify right side
    124.81x = 18,082.46
  5. Step 5: Solve for x
    x = 18,082.46/124.81
  6. Step 6: Final answer
    x = 144.88

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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.