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Finding the Fourth Proportional to 77,278.10, 115,917.15 and 32,906.30

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Solution

The fourth proportional to 77,278.10, 115,917.15 and 32,906.30 is: 49,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278.10 : 115,917.15 = 32,906.30 : x
  2. Step 2: Convert to fraction form
    77,278.10/115,917.15 = 32,906.30/x
  3. Step 3: Cross multiply
    77,278.10x = 115,917.15 × 32,906.30
  4. Step 4: Simplify right side
    77,278.10x = 3,814,404,513.05
  5. Step 5: Solve for x
    x = 3,814,404,513.05/77,278.10
  6. Step 6: Final answer
    x = 49,359.45

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Similar ratio
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1.5x scale

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.