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Finding the Fourth Proportional to 223,821.80, 308,880.80 and 121,853.92

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Solution

The fourth proportional to 223,821.80, 308,880.80 and 121,853.92 is: 168,162.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,821.80 : 308,880.80 = 121,853.92 : x
  2. Step 2: Convert to fraction form
    223,821.80/308,880.80 = 121,853.92/x
  3. Step 3: Cross multiply
    223,821.80x = 308,880.80 × 121,853.92
  4. Step 4: Simplify right side
    223,821.80x = 37,638,336,292.74
  5. Step 5: Solve for x
    x = 37,638,336,292.74/223,821.80
  6. Step 6: Final answer
    x = 168,162.07

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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.