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Finding the Fourth Proportional to 68,971.92, 103,425.12 and 31,520.88

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Solution

The fourth proportional to 68,971.92, 103,425.12 and 31,520.88 is: 47,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.92 : 103,425.12 = 31,520.88 : x
  2. Step 2: Convert to fraction form
    68,971.92/103,425.12 = 31,520.88/x
  3. Step 3: Cross multiply
    68,971.92x = 103,425.12 × 31,520.88
  4. Step 4: Simplify right side
    68,971.92x = 3,260,050,796.51
  5. Step 5: Solve for x
    x = 3,260,050,796.51/68,971.92
  6. Step 6: Final answer
    x = 47,266.35

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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.