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Finding the Fourth Proportional to 103,989.21, 143,527.32 and 65,724.41

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Solution

The fourth proportional to 103,989.21, 143,527.32 and 65,724.41 is: 90,713.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,989.21 : 143,527.32 = 65,724.41 : x
  2. Step 2: Convert to fraction form
    103,989.21/143,527.32 = 65,724.41/x
  3. Step 3: Cross multiply
    103,989.21x = 143,527.32 × 65,724.41
  4. Step 4: Simplify right side
    103,989.21x = 9,433,247,708.24
  5. Step 5: Solve for x
    x = 9,433,247,708.24/103,989.21
  6. Step 6: Final answer
    x = 90,713.72

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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.