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Finding the Fourth Proportional to 95.71, 143.91 and 83.77

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Solution

The fourth proportional to 95.71, 143.91 and 83.77 is: 125.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95.71 : 143.91 = 83.77 : x
  2. Step 2: Convert to fraction form
    95.71/143.91 = 83.77/x
  3. Step 3: Cross multiply
    95.71x = 143.91 × 83.77
  4. Step 4: Simplify right side
    95.71x = 12,055.34
  5. Step 5: Solve for x
    x = 12,055.34/95.71
  6. Step 6: Final answer
    x = 125.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.