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Finding the Fourth Proportional to 155,066.81, 213,976.22 and 87,091.20

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Solution

The fourth proportional to 155,066.81, 213,976.22 and 87,091.20 is: 120,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,066.81 : 213,976.22 = 87,091.20 : x
  2. Step 2: Convert to fraction form
    155,066.81/213,976.22 = 87,091.20/x
  3. Step 3: Cross multiply
    155,066.81x = 213,976.22 × 87,091.20
  4. Step 4: Simplify right side
    155,066.81x = 18,635,445,335.81
  5. Step 5: Solve for x
    x = 18,635,445,335.81/155,066.81
  6. Step 6: Final answer
    x = 120,176.88

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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.