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Finding the Fourth Proportional to 71,635.29, 98,831.44 and 40,986

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Solution

The fourth proportional to 71,635.29, 98,831.44 and 40,986 is: 56,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,635.29 : 98,831.44 = 40,986 : x
  2. Step 2: Convert to fraction form
    71,635.29/98,831.44 = 40,986/x
  3. Step 3: Cross multiply
    71,635.29x = 98,831.44 × 40,986
  4. Step 4: Simplify right side
    71,635.29x = 4,050,705,399.84
  5. Step 5: Solve for x
    x = 4,050,705,399.84/71,635.29
  6. Step 6: Final answer
    x = 56,546.23

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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.