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Finding the Fourth Proportional to 73,164.96, 109,723.14 and 28,780.20

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Solution

The fourth proportional to 73,164.96, 109,723.14 and 28,780.20 is: 43,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,164.96 : 109,723.14 = 28,780.20 : x
  2. Step 2: Convert to fraction form
    73,164.96/109,723.14 = 28,780.20/x
  3. Step 3: Cross multiply
    73,164.96x = 109,723.14 × 28,780.20
  4. Step 4: Simplify right side
    73,164.96x = 3,157,853,913.83
  5. Step 5: Solve for x
    x = 3,157,853,913.83/73,164.96
  6. Step 6: Final answer
    x = 43,160.74

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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.