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Finding the Fourth Proportional to 65,190.71, 89,960.06 and 40,035.35

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Solution

The fourth proportional to 65,190.71, 89,960.06 and 40,035.35 is: 55,246.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,190.71 : 89,960.06 = 40,035.35 : x
  2. Step 2: Convert to fraction form
    65,190.71/89,960.06 = 40,035.35/x
  3. Step 3: Cross multiply
    65,190.71x = 89,960.06 × 40,035.35
  4. Step 4: Simplify right side
    65,190.71x = 3,601,582,488.12
  5. Step 5: Solve for x
    x = 3,601,582,488.12/65,190.71
  6. Step 6: Final answer
    x = 55,246.87

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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.