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Finding the Fourth Proportional to 107,319.20, 160,978.80 and 82,484.60

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Solution

The fourth proportional to 107,319.20, 160,978.80 and 82,484.60 is: 123,726.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,319.20 : 160,978.80 = 82,484.60 : x
  2. Step 2: Convert to fraction form
    107,319.20/160,978.80 = 82,484.60/x
  3. Step 3: Cross multiply
    107,319.20x = 160,978.80 × 82,484.60
  4. Step 4: Simplify right side
    107,319.20x = 13,278,271,926.48
  5. Step 5: Solve for x
    x = 13,278,271,926.48/107,319.20
  6. Step 6: Final answer
    x = 123,726.90

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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.