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Finding the Fourth Proportional to 78.18, 116.82 and 61.02

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Solution

The fourth proportional to 78.18, 116.82 and 61.02 is: 91.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.18 : 116.82 = 61.02 : x
  2. Step 2: Convert to fraction form
    78.18/116.82 = 61.02/x
  3. Step 3: Cross multiply
    78.18x = 116.82 × 61.02
  4. Step 4: Simplify right side
    78.18x = 7,128.36
  5. Step 5: Solve for x
    x = 7,128.36/78.18
  6. Step 6: Final answer
    x = 91.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.