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Finding the Fourth Proportional to 218,251.46, 301,162.62 and 122,756.10

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Solution

The fourth proportional to 218,251.46, 301,162.62 and 122,756.10 is: 169,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,251.46 : 301,162.62 = 122,756.10 : x
  2. Step 2: Convert to fraction form
    218,251.46/301,162.62 = 122,756.10/x
  3. Step 3: Cross multiply
    218,251.46x = 301,162.62 × 122,756.10
  4. Step 4: Simplify right side
    218,251.46x = 36,969,548,696.98
  5. Step 5: Solve for x
    x = 36,969,548,696.98/218,251.46
  6. Step 6: Final answer
    x = 169,389.70

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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.