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Finding the Fourth Proportional to 217,542.32, 326,322.32 and 103,631.56

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Solution

The fourth proportional to 217,542.32, 326,322.32 and 103,631.56 is: 155,451.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,542.32 : 326,322.32 = 103,631.56 : x
  2. Step 2: Convert to fraction form
    217,542.32/326,322.32 = 103,631.56/x
  3. Step 3: Cross multiply
    217,542.32x = 326,322.32 × 103,631.56
  4. Step 4: Simplify right side
    217,542.32x = 33,817,291,084.42
  5. Step 5: Solve for x
    x = 33,817,291,084.42/217,542.32
  6. Step 6: Final answer
    x = 155,451.55

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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.