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Finding the Fourth Proportional to 83,805.30, 125,709.32 and 20,625.60

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Solution

The fourth proportional to 83,805.30, 125,709.32 and 20,625.60 is: 30,938.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,805.30 : 125,709.32 = 20,625.60 : x
  2. Step 2: Convert to fraction form
    83,805.30/125,709.32 = 20,625.60/x
  3. Step 3: Cross multiply
    83,805.30x = 125,709.32 × 20,625.60
  4. Step 4: Simplify right side
    83,805.30x = 2,592,830,673.57
  5. Step 5: Solve for x
    x = 2,592,830,673.57/83,805.30
  6. Step 6: Final answer
    x = 30,938.74

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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.