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Finding the Fourth Proportional to 92,491.93, 138,780.71 and 50,321.78

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Solution

The fourth proportional to 92,491.93, 138,780.71 and 50,321.78 is: 75,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,491.93 : 138,780.71 = 50,321.78 : x
  2. Step 2: Convert to fraction form
    92,491.93/138,780.71 = 50,321.78/x
  3. Step 3: Cross multiply
    92,491.93x = 138,780.71 × 50,321.78
  4. Step 4: Simplify right side
    92,491.93x = 6,983,691,411.35
  5. Step 5: Solve for x
    x = 6,983,691,411.35/92,491.93
  6. Step 6: Final answer
    x = 75,505.96

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