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Finding the Fourth Proportional to 133,876.56, 184,729.08 and 77,277

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Solution

The fourth proportional to 133,876.56, 184,729.08 and 77,277 is: 106,630.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,876.56 : 184,729.08 = 77,277 : x
  2. Step 2: Convert to fraction form
    133,876.56/184,729.08 = 77,277/x
  3. Step 3: Cross multiply
    133,876.56x = 184,729.08 × 77,277
  4. Step 4: Simplify right side
    133,876.56x = 14,275,309,115.16
  5. Step 5: Solve for x
    x = 14,275,309,115.16/133,876.56
  6. Step 6: Final answer
    x = 106,630.38

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1.5x scale

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.