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Finding the Fourth Proportional to 223,822.80, 308,882.18 and 121,854.92

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Solution

The fourth proportional to 223,822.80, 308,882.18 and 121,854.92 is: 168,163.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,822.80 : 308,882.18 = 121,854.92 : x
  2. Step 2: Convert to fraction form
    223,822.80/308,882.18 = 121,854.92/x
  3. Step 3: Cross multiply
    223,822.80x = 308,882.18 × 121,854.92
  4. Step 4: Simplify right side
    223,822.80x = 37,638,813,333.33
  5. Step 5: Solve for x
    x = 37,638,813,333.33/223,822.80
  6. Step 6: Final answer
    x = 168,163.45

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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.