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Finding the Fourth Proportional to 83, 114.36 and 72.20

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Solution

The fourth proportional to 83, 114.36 and 72.20 is: 99.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    83 : 114.36 = 72.20 : x
  2. Step 2: Convert to fraction form
    83/114.36 = 72.20/x
  3. Step 3: Cross multiply
    83x = 114.36 × 72.20
  4. Step 4: Simplify right side
    83x = 8,256.79
  5. Step 5: Solve for x
    x = 8,256.79/83
  6. Step 6: Final answer
    x = 99.48

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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.