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Finding the Fourth Proportional to 69,854.78, 96,402.08 and 39,641.38

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Solution

The fourth proportional to 69,854.78, 96,402.08 and 39,641.38 is: 54,706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854.78 : 96,402.08 = 39,641.38 : x
  2. Step 2: Convert to fraction form
    69,854.78/96,402.08 = 39,641.38/x
  3. Step 3: Cross multiply
    69,854.78x = 96,402.08 × 39,641.38
  4. Step 4: Simplify right side
    69,854.78x = 3,821,511,486.07
  5. Step 5: Solve for x
    x = 3,821,511,486.07/69,854.78
  6. Step 6: Final answer
    x = 54,706.51

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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.