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Finding the Fourth Proportional to 140.61, 194.10 and 90.15

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Solution

The fourth proportional to 140.61, 194.10 and 90.15 is: 124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.61 : 194.10 = 90.15 : x
  2. Step 2: Convert to fraction form
    140.61/194.10 = 90.15/x
  3. Step 3: Cross multiply
    140.61x = 194.10 × 90.15
  4. Step 4: Simplify right side
    140.61x = 17,498.69
  5. Step 5: Solve for x
    x = 17,498.69/140.61
  6. Step 6: Final answer
    x = 124.45

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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.