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Finding the Fourth Proportional to 217,871.60, 326,742.60 and 84,675.20

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Solution

The fourth proportional to 217,871.60, 326,742.60 and 84,675.20 is: 126,987.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,871.60 : 326,742.60 = 84,675.20 : x
  2. Step 2: Convert to fraction form
    217,871.60/326,742.60 = 84,675.20/x
  3. Step 3: Cross multiply
    217,871.60x = 326,742.60 × 84,675.20
  4. Step 4: Simplify right side
    217,871.60x = 27,666,995,003.52
  5. Step 5: Solve for x
    x = 27,666,995,003.52/217,871.60
  6. Step 6: Final answer
    x = 126,987.62

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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.