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Finding the Fourth Proportional to 65,189.71, 89,958.68 and 40,034.35

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Solution

The fourth proportional to 65,189.71, 89,958.68 and 40,034.35 is: 55,245.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.71 : 89,958.68 = 40,034.35 : x
  2. Step 2: Convert to fraction form
    65,189.71/89,958.68 = 40,034.35/x
  3. Step 3: Cross multiply
    65,189.71x = 89,958.68 × 40,034.35
  4. Step 4: Simplify right side
    65,189.71x = 3,601,436,830.86
  5. Step 5: Solve for x
    x = 3,601,436,830.86/65,189.71
  6. Step 6: Final answer
    x = 55,245.48

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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.