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Finding the Fourth Proportional to 126,013, 173,902.80 and 69,423.16

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Solution

The fourth proportional to 126,013, 173,902.80 and 69,423.16 is: 95,806.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,013 : 173,902.80 = 69,423.16 : x
  2. Step 2: Convert to fraction form
    126,013/173,902.80 = 69,423.16/x
  3. Step 3: Cross multiply
    126,013x = 173,902.80 × 69,423.16
  4. Step 4: Simplify right side
    126,013x = 12,072,881,908.85
  5. Step 5: Solve for x
    x = 12,072,881,908.85/126,013
  6. Step 6: Final answer
    x = 95,806.64

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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.