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Finding the Fourth Proportional to 120,391.76, 166,058.08 and 82,600.40

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Solution

The fourth proportional to 120,391.76, 166,058.08 and 82,600.40 is: 113,931.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,391.76 : 166,058.08 = 82,600.40 : x
  2. Step 2: Convert to fraction form
    120,391.76/166,058.08 = 82,600.40/x
  3. Step 3: Cross multiply
    120,391.76x = 166,058.08 × 82,600.40
  4. Step 4: Simplify right side
    120,391.76x = 13,716,463,831.23
  5. Step 5: Solve for x
    x = 13,716,463,831.23/120,391.76
  6. Step 6: Final answer
    x = 113,931.92

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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.