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Finding the Fourth Proportional to 102.46, 141.12 and 86.02

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Solution

The fourth proportional to 102.46, 141.12 and 86.02 is: 118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 141.12 = 86.02 : x
  2. Step 2: Convert to fraction form
    102.46/141.12 = 86.02/x
  3. Step 3: Cross multiply
    102.46x = 141.12 × 86.02
  4. Step 4: Simplify right side
    102.46x = 12,139.14
  5. Step 5: Solve for x
    x = 12,139.14/102.46
  6. Step 6: Final answer
    x = 118.48

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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.