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Finding the Fourth Proportional to 140.53, 192.88 and 124.63

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Solution

The fourth proportional to 140.53, 192.88 and 124.63 is: 171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 192.88 = 124.63 : x
  2. Step 2: Convert to fraction form
    140.53/192.88 = 124.63/x
  3. Step 3: Cross multiply
    140.53x = 192.88 × 124.63
  4. Step 4: Simplify right side
    140.53x = 24,038.01
  5. Step 5: Solve for x
    x = 24,038.01/140.53
  6. Step 6: Final answer
    x = 171.06

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.