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Finding the Fourth Proportional to 516,818.09, 775,165.63 and 137,767.25

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Solution

The fourth proportional to 516,818.09, 775,165.63 and 137,767.25 is: 206,634.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,818.09 : 775,165.63 = 137,767.25 : x
  2. Step 2: Convert to fraction form
    516,818.09/775,165.63 = 137,767.25/x
  3. Step 3: Cross multiply
    516,818.09x = 775,165.63 × 137,767.25
  4. Step 4: Simplify right side
    516,818.09x = 106,792,437,139.62
  5. Step 5: Solve for x
    x = 106,792,437,139.62/516,818.09
  6. Step 6: Final answer
    x = 206,634.48

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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.