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Finding the Fourth Proportional to 133,680.69, 184,467.08 and 77,081.13

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Solution

The fourth proportional to 133,680.69, 184,467.08 and 77,081.13 is: 106,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,680.69 : 184,467.08 = 77,081.13 : x
  2. Step 2: Convert to fraction form
    133,680.69/184,467.08 = 77,081.13/x
  3. Step 3: Cross multiply
    133,680.69x = 184,467.08 × 77,081.13
  4. Step 4: Simplify right side
    133,680.69x = 14,218,930,974.20
  5. Step 5: Solve for x
    x = 14,218,930,974.20/133,680.69
  6. Step 6: Final answer
    x = 106,364.88

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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.