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Finding the Fourth Proportional to 218,011.84, 327,143.28 and 91,641.28

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Solution

The fourth proportional to 218,011.84, 327,143.28 and 91,641.28 is: 137,514.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,011.84 : 327,143.28 = 91,641.28 : x
  2. Step 2: Convert to fraction form
    218,011.84/327,143.28 = 91,641.28/x
  3. Step 3: Cross multiply
    218,011.84x = 327,143.28 × 91,641.28
  4. Step 4: Simplify right side
    218,011.84x = 29,979,828,922.60
  5. Step 5: Solve for x
    x = 29,979,828,922.60/218,011.84
  6. Step 6: Final answer
    x = 137,514.68

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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.