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Finding the Fourth Proportional to 71.87, 98.64 and 64.96

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Solution

The fourth proportional to 71.87, 98.64 and 64.96 is: 89.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.87 : 98.64 = 64.96 : x
  2. Step 2: Convert to fraction form
    71.87/98.64 = 64.96/x
  3. Step 3: Cross multiply
    71.87x = 98.64 × 64.96
  4. Step 4: Simplify right side
    71.87x = 6,407.35
  5. Step 5: Solve for x
    x = 6,407.35/71.87
  6. Step 6: Final answer
    x = 89.15

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.