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Finding the Fourth Proportional to 70,278.54, 96,984.72 and 38,448

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Solution

The fourth proportional to 70,278.54, 96,984.72 and 38,448 is: 53,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,278.54 : 96,984.72 = 38,448 : x
  2. Step 2: Convert to fraction form
    70,278.54/96,984.72 = 38,448/x
  3. Step 3: Cross multiply
    70,278.54x = 96,984.72 × 38,448
  4. Step 4: Simplify right side
    70,278.54x = 3,728,868,514.56
  5. Step 5: Solve for x
    x = 3,728,868,514.56/70,278.54
  6. Step 6: Final answer
    x = 53,058.42

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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.