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Finding the Fourth Proportional to 223,769.80, 308,807.94 and 121,800.76

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Solution

The fourth proportional to 223,769.80, 308,807.94 and 121,800.76 is: 168,088.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,769.80 : 308,807.94 = 121,800.76 : x
  2. Step 2: Convert to fraction form
    223,769.80/308,807.94 = 121,800.76/x
  3. Step 3: Cross multiply
    223,769.80x = 308,807.94 × 121,800.76
  4. Step 4: Simplify right side
    223,769.80x = 37,613,041,786.03
  5. Step 5: Solve for x
    x = 37,613,041,786.03/223,769.80
  6. Step 6: Final answer
    x = 168,088.11

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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.