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Finding the Fourth Proportional to 65,159.92, 89,930.28 and 41,288.80

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Solution

The fourth proportional to 65,159.92, 89,930.28 and 41,288.80 is: 56,984.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,159.92 : 89,930.28 = 41,288.80 : x
  2. Step 2: Convert to fraction form
    65,159.92/89,930.28 = 41,288.80/x
  3. Step 3: Cross multiply
    65,159.92x = 89,930.28 × 41,288.80
  4. Step 4: Simplify right side
    65,159.92x = 3,713,113,344.86
  5. Step 5: Solve for x
    x = 3,713,113,344.86/65,159.92
  6. Step 6: Final answer
    x = 56,984.62

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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.