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Finding the Fourth Proportional to 121,563.48, 182,351.70 and 38,451

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Solution

The fourth proportional to 121,563.48, 182,351.70 and 38,451 is: 57,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,563.48 : 182,351.70 = 38,451 : x
  2. Step 2: Convert to fraction form
    121,563.48/182,351.70 = 38,451/x
  3. Step 3: Cross multiply
    121,563.48x = 182,351.70 × 38,451
  4. Step 4: Simplify right side
    121,563.48x = 7,011,605,216.70
  5. Step 5: Solve for x
    x = 7,011,605,216.70/121,563.48
  6. Step 6: Final answer
    x = 57,678.55

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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.