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Finding the Fourth Proportional to 70,819.20, 106,204.32 and 31,403.88

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Solution

The fourth proportional to 70,819.20, 106,204.32 and 31,403.88 is: 47,094.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,819.20 : 106,204.32 = 31,403.88 : x
  2. Step 2: Convert to fraction form
    70,819.20/106,204.32 = 31,403.88/x
  3. Step 3: Cross multiply
    70,819.20x = 106,204.32 × 31,403.88
  4. Step 4: Simplify right side
    70,819.20x = 3,335,227,720.76
  5. Step 5: Solve for x
    x = 3,335,227,720.76/70,819.20
  6. Step 6: Final answer
    x = 47,094.96

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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.