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Finding the Fourth Proportional to 219,167.29, 328,760.31 and 86,076.40

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Solution

The fourth proportional to 219,167.29, 328,760.31 and 86,076.40 is: 129,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,167.29 : 328,760.31 = 86,076.40 : x
  2. Step 2: Convert to fraction form
    219,167.29/328,760.31 = 86,076.40/x
  3. Step 3: Cross multiply
    219,167.29x = 328,760.31 × 86,076.40
  4. Step 4: Simplify right side
    219,167.29x = 28,298,503,947.68
  5. Step 5: Solve for x
    x = 28,298,503,947.68/219,167.29
  6. Step 6: Final answer
    x = 129,118.28

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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.