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Finding the Fourth Proportional to 104.70, 157.14 and 80.70

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Solution

The fourth proportional to 104.70, 157.14 and 80.70 is: 121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.70 : 157.14 = 80.70 : x
  2. Step 2: Convert to fraction form
    104.70/157.14 = 80.70/x
  3. Step 3: Cross multiply
    104.70x = 157.14 × 80.70
  4. Step 4: Simplify right side
    104.70x = 12,681.20
  5. Step 5: Solve for x
    x = 12,681.20/104.70
  6. Step 6: Final answer
    x = 121.12

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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.