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Finding the Fourth Proportional to 70,398.18, 105,604.20 and 20,478.78

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Solution

The fourth proportional to 70,398.18, 105,604.20 and 20,478.78 is: 30,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,398.18 : 105,604.20 = 20,478.78 : x
  2. Step 2: Convert to fraction form
    70,398.18/105,604.20 = 20,478.78/x
  3. Step 3: Cross multiply
    70,398.18x = 105,604.20 × 20,478.78
  4. Step 4: Simplify right side
    70,398.18x = 2,162,645,178.88
  5. Step 5: Solve for x
    x = 2,162,645,178.88/70,398.18
  6. Step 6: Final answer
    x = 30,720.19

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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.