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Finding the Fourth Proportional to 209,494.52, 314,242.42 and 51,723

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Solution

The fourth proportional to 209,494.52, 314,242.42 and 51,723 is: 77,584.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,494.52 : 314,242.42 = 51,723 : x
  2. Step 2: Convert to fraction form
    209,494.52/314,242.42 = 51,723/x
  3. Step 3: Cross multiply
    209,494.52x = 314,242.42 × 51,723
  4. Step 4: Simplify right side
    209,494.52x = 16,253,560,689.66
  5. Step 5: Solve for x
    x = 16,253,560,689.66/209,494.52
  6. Step 6: Final answer
    x = 77,584.66

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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.