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Finding the Fourth Proportional to 83,801.38, 125,669.13 and 30,480.70

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Solution

The fourth proportional to 83,801.38, 125,669.13 and 30,480.70 is: 45,709.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,801.38 : 125,669.13 = 30,480.70 : x
  2. Step 2: Convert to fraction form
    83,801.38/125,669.13 = 30,480.70/x
  3. Step 3: Cross multiply
    83,801.38x = 125,669.13 × 30,480.70
  4. Step 4: Simplify right side
    83,801.38x = 3,830,483,050.79
  5. Step 5: Solve for x
    x = 3,830,483,050.79/83,801.38
  6. Step 6: Final answer
    x = 45,709.07

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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.