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Finding the Fourth Proportional to 78.19, 116.98 and 69.53

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Solution

The fourth proportional to 78.19, 116.98 and 69.53 is: 104.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.19 : 116.98 = 69.53 : x
  2. Step 2: Convert to fraction form
    78.19/116.98 = 69.53/x
  3. Step 3: Cross multiply
    78.19x = 116.98 × 69.53
  4. Step 4: Simplify right side
    78.19x = 8,132.86
  5. Step 5: Solve for x
    x = 8,132.86/78.19
  6. Step 6: Final answer
    x = 104.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.