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Finding the Fourth Proportional to 229,908, 344,861.64 and 72,148.56

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Solution

The fourth proportional to 229,908, 344,861.64 and 72,148.56 is: 108,222.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,908 : 344,861.64 = 72,148.56 : x
  2. Step 2: Convert to fraction form
    229,908/344,861.64 = 72,148.56/x
  3. Step 3: Cross multiply
    229,908x = 344,861.64 × 72,148.56
  4. Step 4: Simplify right side
    229,908x = 24,881,270,725.24
  5. Step 5: Solve for x
    x = 24,881,270,725.24/229,908
  6. Step 6: Final answer
    x = 108,222.73

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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.