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Finding the Fourth Proportional to 70,805.20, 97,709.31 and 38,540.47

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Solution

The fourth proportional to 70,805.20, 97,709.31 and 38,540.47 is: 53,184.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,805.20 : 97,709.31 = 38,540.47 : x
  2. Step 2: Convert to fraction form
    70,805.20/97,709.31 = 38,540.47/x
  3. Step 3: Cross multiply
    70,805.20x = 97,709.31 × 38,540.47
  4. Step 4: Simplify right side
    70,805.20x = 3,765,762,730.78
  5. Step 5: Solve for x
    x = 3,765,762,730.78/70,805.20
  6. Step 6: Final answer
    x = 53,184.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.