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Finding the Fourth Proportional to 121,436.16, 182,162.88 and 38,328

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Solution

The fourth proportional to 121,436.16, 182,162.88 and 38,328 is: 57,494.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,436.16 : 182,162.88 = 38,328 : x
  2. Step 2: Convert to fraction form
    121,436.16/182,162.88 = 38,328/x
  3. Step 3: Cross multiply
    121,436.16x = 182,162.88 × 38,328
  4. Step 4: Simplify right side
    121,436.16x = 6,981,938,864.64
  5. Step 5: Solve for x
    x = 6,981,938,864.64/121,436.16
  6. Step 6: Final answer
    x = 57,494.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.