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Finding the Fourth Proportional to 77.43, 115.63 and 72.93

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Solution

The fourth proportional to 77.43, 115.63 and 72.93 is: 108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.43 : 115.63 = 72.93 : x
  2. Step 2: Convert to fraction form
    77.43/115.63 = 72.93/x
  3. Step 3: Cross multiply
    77.43x = 115.63 × 72.93
  4. Step 4: Simplify right side
    77.43x = 8,432.24
  5. Step 5: Solve for x
    x = 8,432.24/77.43
  6. Step 6: Final answer
    x = 108.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.