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Finding the Fourth Proportional to 121,142.82, 181,721.52 and 38,036.82

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Solution

The fourth proportional to 121,142.82, 181,721.52 and 38,036.82 is: 57,057.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,142.82 : 181,721.52 = 38,036.82 : x
  2. Step 2: Convert to fraction form
    121,142.82/181,721.52 = 38,036.82/x
  3. Step 3: Cross multiply
    121,142.82x = 181,721.52 × 38,036.82
  4. Step 4: Simplify right side
    121,142.82x = 6,912,107,647.57
  5. Step 5: Solve for x
    x = 6,912,107,647.57/121,142.82
  6. Step 6: Final answer
    x = 57,057.51

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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.