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Finding the Fourth Proportional to 71,854.89, 107,767.75 and 19,252.07

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Solution

The fourth proportional to 71,854.89, 107,767.75 and 19,252.07 is: 28,874.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854.89 : 107,767.75 = 19,252.07 : x
  2. Step 2: Convert to fraction form
    71,854.89/107,767.75 = 19,252.07/x
  3. Step 3: Cross multiply
    71,854.89x = 107,767.75 × 19,252.07
  4. Step 4: Simplify right side
    71,854.89x = 2,074,752,266.74
  5. Step 5: Solve for x
    x = 2,074,752,266.74/71,854.89
  6. Step 6: Final answer
    x = 28,874.20

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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.