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Finding the Fourth Proportional to 223,971.34, 309,080.47 and 123,369.34

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Solution

The fourth proportional to 223,971.34, 309,080.47 and 123,369.34 is: 170,249.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,971.34 : 309,080.47 = 123,369.34 : x
  2. Step 2: Convert to fraction form
    223,971.34/309,080.47 = 123,369.34/x
  3. Step 3: Cross multiply
    223,971.34x = 309,080.47 × 123,369.34
  4. Step 4: Simplify right side
    223,971.34x = 38,131,053,590.79
  5. Step 5: Solve for x
    x = 38,131,053,590.79/223,971.34
  6. Step 6: Final answer
    x = 170,249.70

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1.5x scale

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.