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Finding the Fourth Proportional to 71.43, 99.19 and 69.50

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Solution

The fourth proportional to 71.43, 99.19 and 69.50 is: 96.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.43 : 99.19 = 69.50 : x
  2. Step 2: Convert to fraction form
    71.43/99.19 = 69.50/x
  3. Step 3: Cross multiply
    71.43x = 99.19 × 69.50
  4. Step 4: Simplify right side
    71.43x = 6,893.71
  5. Step 5: Solve for x
    x = 6,893.71/71.43
  6. Step 6: Final answer
    x = 96.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.