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Finding the Fourth Proportional to 262,945.52, 394,134.04 and 105,000.40

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Solution

The fourth proportional to 262,945.52, 394,134.04 and 105,000.40 is: 157,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,945.52 : 394,134.04 = 105,000.40 : x
  2. Step 2: Convert to fraction form
    262,945.52/394,134.04 = 105,000.40/x
  3. Step 3: Cross multiply
    262,945.52x = 394,134.04 × 105,000.40
  4. Step 4: Simplify right side
    262,945.52x = 41,384,231,853.62
  5. Step 5: Solve for x
    x = 41,384,231,853.62/262,945.52
  6. Step 6: Final answer
    x = 157,387.10

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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.