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Finding the Fourth Proportional to 65,112.52, 89,822.80 and 43,854.88

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Solution

The fourth proportional to 65,112.52, 89,822.80 and 43,854.88 is: 60,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,112.52 : 89,822.80 = 43,854.88 : x
  2. Step 2: Convert to fraction form
    65,112.52/89,822.80 = 43,854.88/x
  3. Step 3: Cross multiply
    65,112.52x = 89,822.80 × 43,854.88
  4. Step 4: Simplify right side
    65,112.52x = 3,939,168,115.26
  5. Step 5: Solve for x
    x = 3,939,168,115.26/65,112.52
  6. Step 6: Final answer
    x = 60,497.86

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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.