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Finding the Fourth Proportional to 102.46, 153.96 and 78.70

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Solution

The fourth proportional to 102.46, 153.96 and 78.70 is: 118.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 153.96 = 78.70 : x
  2. Step 2: Convert to fraction form
    102.46/153.96 = 78.70/x
  3. Step 3: Cross multiply
    102.46x = 153.96 × 78.70
  4. Step 4: Simplify right side
    102.46x = 12,116.65
  5. Step 5: Solve for x
    x = 12,116.65/102.46
  6. Step 6: Final answer
    x = 118.26

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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.