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Finding the Fourth Proportional to 71.12, 98.12 and 52.40

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Solution

The fourth proportional to 71.12, 98.12 and 52.40 is: 72.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 98.12 = 52.40 : x
  2. Step 2: Convert to fraction form
    71.12/98.12 = 52.40/x
  3. Step 3: Cross multiply
    71.12x = 98.12 × 52.40
  4. Step 4: Simplify right side
    71.12x = 5,141.86
  5. Step 5: Solve for x
    x = 5,141.86/71.12
  6. Step 6: Final answer
    x = 72.30

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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.