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Finding the Fourth Proportional to 223,947.81, 309,047.96 and 123,345.81

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Solution

The fourth proportional to 223,947.81, 309,047.96 and 123,345.81 is: 170,217.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,947.81 : 309,047.96 = 123,345.81 : x
  2. Step 2: Convert to fraction form
    223,947.81/309,047.96 = 123,345.81/x
  3. Step 3: Cross multiply
    223,947.81x = 309,047.96 × 123,345.81
  4. Step 4: Simplify right side
    223,947.81x = 38,119,770,338.32
  5. Step 5: Solve for x
    x = 38,119,770,338.32/223,947.81
  6. Step 6: Final answer
    x = 170,217.21

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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.