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Finding the Fourth Proportional to 223,946.72, 309,046.48 and 123,344.72

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Solution

The fourth proportional to 223,946.72, 309,046.48 and 123,344.72 is: 170,215.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,946.72 : 309,046.48 = 123,344.72 : x
  2. Step 2: Convert to fraction form
    223,946.72/309,046.48 = 123,344.72/x
  3. Step 3: Cross multiply
    223,946.72x = 309,046.48 × 123,344.72
  4. Step 4: Simplify right side
    223,946.72x = 38,119,250,847.92
  5. Step 5: Solve for x
    x = 38,119,250,847.92/223,946.72
  6. Step 6: Final answer
    x = 170,215.71

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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.