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Finding the Fourth Proportional to 208,974.51, 313,461.90 and 75,854.52

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Solution

The fourth proportional to 208,974.51, 313,461.90 and 75,854.52 is: 113,781.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,974.51 : 313,461.90 = 75,854.52 : x
  2. Step 2: Convert to fraction form
    208,974.51/313,461.90 = 75,854.52/x
  3. Step 3: Cross multiply
    208,974.51x = 313,461.90 × 75,854.52
  4. Step 4: Simplify right side
    208,974.51x = 23,777,501,962.79
  5. Step 5: Solve for x
    x = 23,777,501,962.79/208,974.51
  6. Step 6: Final answer
    x = 113,781.83

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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.