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Finding the Fourth Proportional to 120,332.81, 166,052.69 and 65,874.44

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Solution

The fourth proportional to 120,332.81, 166,052.69 and 65,874.44 is: 90,903.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,332.81 : 166,052.69 = 65,874.44 : x
  2. Step 2: Convert to fraction form
    120,332.81/166,052.69 = 65,874.44/x
  3. Step 3: Cross multiply
    120,332.81x = 166,052.69 × 65,874.44
  4. Step 4: Simplify right side
    120,332.81x = 10,938,627,964.24
  5. Step 5: Solve for x
    x = 10,938,627,964.24/120,332.81
  6. Step 6: Final answer
    x = 90,903.12

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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.