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Finding the Fourth Proportional to 225,725.76, 338,551.92 and 83,638.08

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Solution

The fourth proportional to 225,725.76, 338,551.92 and 83,638.08 is: 125,443.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,725.76 : 338,551.92 = 83,638.08 : x
  2. Step 2: Convert to fraction form
    225,725.76/338,551.92 = 83,638.08/x
  3. Step 3: Cross multiply
    225,725.76x = 338,551.92 × 83,638.08
  4. Step 4: Simplify right side
    225,725.76x = 28,315,832,569.11
  5. Step 5: Solve for x
    x = 28,315,832,569.11/225,725.76
  6. Step 6: Final answer
    x = 125,443.51

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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.