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Finding the Fourth Proportional to 77,262, 106,621.56 and 41,934

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Solution

The fourth proportional to 77,262, 106,621.56 and 41,934 is: 57,868.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,262 : 106,621.56 = 41,934 : x
  2. Step 2: Convert to fraction form
    77,262/106,621.56 = 41,934/x
  3. Step 3: Cross multiply
    77,262x = 106,621.56 × 41,934
  4. Step 4: Simplify right side
    77,262x = 4,471,068,497.04
  5. Step 5: Solve for x
    x = 4,471,068,497.04/77,262
  6. Step 6: Final answer
    x = 57,868.92

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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.