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Finding the Fourth Proportional to 255,112.20, 382,723.65 and 77,614.59

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Solution

The fourth proportional to 255,112.20, 382,723.65 and 77,614.59 is: 116,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,112.20 : 382,723.65 = 77,614.59 : x
  2. Step 2: Convert to fraction form
    255,112.20/382,723.65 = 77,614.59/x
  3. Step 3: Cross multiply
    255,112.20x = 382,723.65 × 77,614.59
  4. Step 4: Simplify right side
    255,112.20x = 29,704,940,613.27
  5. Step 5: Solve for x
    x = 29,704,940,613.27/255,112.20
  6. Step 6: Final answer
    x = 116,438.73

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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.