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Finding the Fourth Proportional to 223,811.65, 308,859.20 and 121,842.77

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Solution

The fourth proportional to 223,811.65, 308,859.20 and 121,842.77 is: 168,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,811.65 : 308,859.20 = 121,842.77 : x
  2. Step 2: Convert to fraction form
    223,811.65/308,859.20 = 121,842.77/x
  3. Step 3: Cross multiply
    223,811.65x = 308,859.20 × 121,842.77
  4. Step 4: Simplify right side
    223,811.65x = 37,632,260,630.92
  5. Step 5: Solve for x
    x = 37,632,260,630.92/223,811.65
  6. Step 6: Final answer
    x = 168,142.55

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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.