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Finding the Fourth Proportional to 136,281.78, 188,069.85 and 75,854.97

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Solution

The fourth proportional to 136,281.78, 188,069.85 and 75,854.97 is: 104,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,281.78 : 188,069.85 = 75,854.97 : x
  2. Step 2: Convert to fraction form
    136,281.78/188,069.85 = 75,854.97/x
  3. Step 3: Cross multiply
    136,281.78x = 188,069.85 × 75,854.97
  4. Step 4: Simplify right side
    136,281.78x = 14,266,032,829.65
  5. Step 5: Solve for x
    x = 14,266,032,829.65/136,281.78
  6. Step 6: Final answer
    x = 104,680.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.