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Finding the Fourth Proportional to 140.24, 193.72 and 103.52

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Solution

The fourth proportional to 140.24, 193.72 and 103.52 is: 143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.24 : 193.72 = 103.52 : x
  2. Step 2: Convert to fraction form
    140.24/193.72 = 103.52/x
  3. Step 3: Cross multiply
    140.24x = 193.72 × 103.52
  4. Step 4: Simplify right side
    140.24x = 20,053.89
  5. Step 5: Solve for x
    x = 20,053.89/140.24
  6. Step 6: Final answer
    x = 143.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.