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Finding the Fourth Proportional to 223,331.80, 308,224.52 and 127,869.16

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Solution

The fourth proportional to 223,331.80, 308,224.52 and 127,869.16 is: 176,474.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,331.80 : 308,224.52 = 127,869.16 : x
  2. Step 2: Convert to fraction form
    223,331.80/308,224.52 = 127,869.16/x
  3. Step 3: Cross multiply
    223,331.80x = 308,224.52 × 127,869.16
  4. Step 4: Simplify right side
    223,331.80x = 39,412,410,463.80
  5. Step 5: Solve for x
    x = 39,412,410,463.80/223,331.80
  6. Step 6: Final answer
    x = 176,474.69

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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.