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Finding the Fourth Proportional to 216,947.40, 325,712.70 and 138,215.40

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Solution

The fourth proportional to 216,947.40, 325,712.70 and 138,215.40 is: 207,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,947.40 : 325,712.70 = 138,215.40 : x
  2. Step 2: Convert to fraction form
    216,947.40/325,712.70 = 138,215.40/x
  3. Step 3: Cross multiply
    216,947.40x = 325,712.70 × 138,215.40
  4. Step 4: Simplify right side
    216,947.40x = 45,018,511,115.58
  5. Step 5: Solve for x
    x = 45,018,511,115.58/216,947.40
  6. Step 6: Final answer
    x = 207,508.88

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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.