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Finding the Fourth Proportional to 65,135.88, 89,844.84 and 51,685.92

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Solution

The fourth proportional to 65,135.88, 89,844.84 and 51,685.92 is: 71,292.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,135.88 : 89,844.84 = 51,685.92 : x
  2. Step 2: Convert to fraction form
    65,135.88/89,844.84 = 51,685.92/x
  3. Step 3: Cross multiply
    65,135.88x = 89,844.84 × 51,685.92
  4. Step 4: Simplify right side
    65,135.88x = 4,643,713,212.65
  5. Step 5: Solve for x
    x = 4,643,713,212.65/65,135.88
  6. Step 6: Final answer
    x = 71,292.71

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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.