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Finding the Fourth Proportional to 70,487.92, 105,748.12 and 40,930.48

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Solution

The fourth proportional to 70,487.92, 105,748.12 and 40,930.48 is: 61,405.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,487.92 : 105,748.12 = 40,930.48 : x
  2. Step 2: Convert to fraction form
    70,487.92/105,748.12 = 40,930.48/x
  3. Step 3: Cross multiply
    70,487.92x = 105,748.12 × 40,930.48
  4. Step 4: Simplify right side
    70,487.92x = 4,328,321,310.70
  5. Step 5: Solve for x
    x = 4,328,321,310.70/70,487.92
  6. Step 6: Final answer
    x = 61,405.15

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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.