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Finding the Fourth Proportional to 71.70, 98.96 and 56.14

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Solution

The fourth proportional to 71.70, 98.96 and 56.14 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 98.96 = 56.14 : x
  2. Step 2: Convert to fraction form
    71.70/98.96 = 56.14/x
  3. Step 3: Cross multiply
    71.70x = 98.96 × 56.14
  4. Step 4: Simplify right side
    71.70x = 5,555.61
  5. Step 5: Solve for x
    x = 5,555.61/71.70
  6. Step 6: Final answer
    x = 77.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.