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Finding the Fourth Proportional to 70,161, 96,824.31 and 38,331.95

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Solution

The fourth proportional to 70,161, 96,824.31 and 38,331.95 is: 52,899.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,161 : 96,824.31 = 38,331.95 : x
  2. Step 2: Convert to fraction form
    70,161/96,824.31 = 38,331.95/x
  3. Step 3: Cross multiply
    70,161x = 96,824.31 × 38,331.95
  4. Step 4: Simplify right side
    70,161x = 3,711,464,125.58
  5. Step 5: Solve for x
    x = 3,711,464,125.58/70,161
  6. Step 6: Final answer
    x = 52,899.25

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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.