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Finding the Fourth Proportional to 70,261.74, 96,960 and 38,429.97

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Solution

The fourth proportional to 70,261.74, 96,960 and 38,429.97 is: 53,032.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,261.74 : 96,960 = 38,429.97 : x
  2. Step 2: Convert to fraction form
    70,261.74/96,960 = 38,429.97/x
  3. Step 3: Cross multiply
    70,261.74x = 96,960 × 38,429.97
  4. Step 4: Simplify right side
    70,261.74x = 3,726,169,891.20
  5. Step 5: Solve for x
    x = 3,726,169,891.20/70,261.74
  6. Step 6: Final answer
    x = 53,032.70

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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.