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Finding the Fourth Proportional to 223,956.07, 309,059.37 and 123,354.07

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Solution

The fourth proportional to 223,956.07, 309,059.37 and 123,354.07 is: 170,228.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,956.07 : 309,059.37 = 123,354.07 : x
  2. Step 2: Convert to fraction form
    223,956.07/309,059.37 = 123,354.07/x
  3. Step 3: Cross multiply
    223,956.07x = 309,059.37 × 123,354.07
  4. Step 4: Simplify right side
    223,956.07x = 38,123,731,161.14
  5. Step 5: Solve for x
    x = 38,123,731,161.14/223,956.07
  6. Step 6: Final answer
    x = 170,228.61

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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.