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Finding the Fourth Proportional to 133,878.56, 184,731.84 and 77,279

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Solution

The fourth proportional to 133,878.56, 184,731.84 and 77,279 is: 106,633.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,878.56 : 184,731.84 = 77,279 : x
  2. Step 2: Convert to fraction form
    133,878.56/184,731.84 = 77,279/x
  3. Step 3: Cross multiply
    133,878.56x = 184,731.84 × 77,279
  4. Step 4: Simplify right side
    133,878.56x = 14,275,891,863.36
  5. Step 5: Solve for x
    x = 14,275,891,863.36/133,878.56
  6. Step 6: Final answer
    x = 106,633.14

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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.