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Finding the Fourth Proportional to 68,981.92, 103,440.12 and 31,530.88

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Solution

The fourth proportional to 68,981.92, 103,440.12 and 31,530.88 is: 47,281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,981.92 : 103,440.12 = 31,530.88 : x
  2. Step 2: Convert to fraction form
    68,981.92/103,440.12 = 31,530.88/x
  3. Step 3: Cross multiply
    68,981.92x = 103,440.12 × 31,530.88
  4. Step 4: Simplify right side
    68,981.92x = 3,261,558,010.91
  5. Step 5: Solve for x
    x = 3,261,558,010.91/68,981.92
  6. Step 6: Final answer
    x = 47,281.35

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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.