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Finding the Fourth Proportional to 65,909.81, 90,949.83 and 39,047.78

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Solution

The fourth proportional to 65,909.81, 90,949.83 and 39,047.78 is: 53,882.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,909.81 : 90,949.83 = 39,047.78 : x
  2. Step 2: Convert to fraction form
    65,909.81/90,949.83 = 39,047.78/x
  3. Step 3: Cross multiply
    65,909.81x = 90,949.83 × 39,047.78
  4. Step 4: Simplify right side
    65,909.81x = 3,551,388,952.88
  5. Step 5: Solve for x
    x = 3,551,388,952.88/65,909.81
  6. Step 6: Final answer
    x = 53,882.55

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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.