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Finding the Fourth Proportional to 68,947.91, 103,421.86 and 54,234.87

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Solution

The fourth proportional to 68,947.91, 103,421.86 and 54,234.87 is: 81,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,947.91 : 103,421.86 = 54,234.87 : x
  2. Step 2: Convert to fraction form
    68,947.91/103,421.86 = 54,234.87/x
  3. Step 3: Cross multiply
    68,947.91x = 103,421.86 × 54,234.87
  4. Step 4: Simplify right side
    68,947.91x = 5,609,070,913.91
  5. Step 5: Solve for x
    x = 5,609,070,913.91/68,947.91
  6. Step 6: Final answer
    x = 81,352.30

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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.