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Finding the Fourth Proportional to 225,516, 311,212.08 and 136,092

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Solution

The fourth proportional to 225,516, 311,212.08 and 136,092 is: 187,806.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,516 : 311,212.08 = 136,092 : x
  2. Step 2: Convert to fraction form
    225,516/311,212.08 = 136,092/x
  3. Step 3: Cross multiply
    225,516x = 311,212.08 × 136,092
  4. Step 4: Simplify right side
    225,516x = 42,353,474,391.36
  5. Step 5: Solve for x
    x = 42,353,474,391.36/225,516
  6. Step 6: Final answer
    x = 187,806.96

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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.