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Finding the Fourth Proportional to 122,721.40, 184,082.10 and 76,065.40

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Solution

The fourth proportional to 122,721.40, 184,082.10 and 76,065.40 is: 114,098.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,721.40 : 184,082.10 = 76,065.40 : x
  2. Step 2: Convert to fraction form
    122,721.40/184,082.10 = 76,065.40/x
  3. Step 3: Cross multiply
    122,721.40x = 184,082.10 × 76,065.40
  4. Step 4: Simplify right side
    122,721.40x = 14,002,278,569.34
  5. Step 5: Solve for x
    x = 14,002,278,569.34/122,721.40
  6. Step 6: Final answer
    x = 114,098.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.