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Finding the Fourth Proportional to 65,805.40, 90,805.62 and 38,947.83

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Solution

The fourth proportional to 65,805.40, 90,805.62 and 38,947.83 is: 53,744.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805.40 : 90,805.62 = 38,947.83 : x
  2. Step 2: Convert to fraction form
    65,805.40/90,805.62 = 38,947.83/x
  3. Step 3: Cross multiply
    65,805.40x = 90,805.62 × 38,947.83
  4. Step 4: Simplify right side
    65,805.40x = 3,536,681,850.80
  5. Step 5: Solve for x
    x = 3,536,681,850.80/65,805.40
  6. Step 6: Final answer
    x = 53,744.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.