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Finding the Fourth Proportional to 223,969.13, 309,077.40 and 123,367.13

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Solution

The fourth proportional to 223,969.13, 309,077.40 and 123,367.13 is: 170,246.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,969.13 : 309,077.40 = 123,367.13 : x
  2. Step 2: Convert to fraction form
    223,969.13/309,077.40 = 123,367.13/x
  3. Step 3: Cross multiply
    223,969.13x = 309,077.40 × 123,367.13
  4. Step 4: Simplify right side
    223,969.13x = 38,129,990,240.48
  5. Step 5: Solve for x
    x = 38,129,990,240.48/223,969.13
  6. Step 6: Final answer
    x = 170,246.64

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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.