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Finding the Fourth Proportional to 229,411.72, 344,105.40 and 71,622.12

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Solution

The fourth proportional to 229,411.72, 344,105.40 and 71,622.12 is: 107,429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,411.72 : 344,105.40 = 71,622.12 : x
  2. Step 2: Convert to fraction form
    229,411.72/344,105.40 = 71,622.12/x
  3. Step 3: Cross multiply
    229,411.72x = 344,105.40 × 71,622.12
  4. Step 4: Simplify right side
    229,411.72x = 24,645,558,251.45
  5. Step 5: Solve for x
    x = 24,645,558,251.45/229,411.72
  6. Step 6: Final answer
    x = 107,429.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.