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Finding the Fourth Proportional to 253,959.30, 381,036.15 and 113,617.08

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Solution

The fourth proportional to 253,959.30, 381,036.15 and 113,617.08 is: 170,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,959.30 : 381,036.15 = 113,617.08 : x
  2. Step 2: Convert to fraction form
    253,959.30/381,036.15 = 113,617.08/x
  3. Step 3: Cross multiply
    253,959.30x = 381,036.15 × 113,617.08
  4. Step 4: Simplify right side
    253,959.30x = 43,292,214,737.44
  5. Step 5: Solve for x
    x = 43,292,214,737.44/253,959.30
  6. Step 6: Final answer
    x = 170,469.11

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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.