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Finding the Fourth Proportional to 223,940.86, 309,024.21 and 123,338.86

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Solution

The fourth proportional to 223,940.86, 309,024.21 and 123,338.86 is: 170,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,940.86 : 309,024.21 = 123,338.86 : x
  2. Step 2: Convert to fraction form
    223,940.86/309,024.21 = 123,338.86/x
  3. Step 3: Cross multiply
    223,940.86x = 309,024.21 × 123,338.86
  4. Step 4: Simplify right side
    223,940.86x = 38,114,693,773.80
  5. Step 5: Solve for x
    x = 38,114,693,773.80/223,940.86
  6. Step 6: Final answer
    x = 170,199.82

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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.