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Finding the Fourth Proportional to 154,643.82, 231,994.89 and 49,434.54

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Solution

The fourth proportional to 154,643.82, 231,994.89 and 49,434.54 is: 74,161.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,643.82 : 231,994.89 = 49,434.54 : x
  2. Step 2: Convert to fraction form
    154,643.82/231,994.89 = 49,434.54/x
  3. Step 3: Cross multiply
    154,643.82x = 231,994.89 × 49,434.54
  4. Step 4: Simplify right side
    154,643.82x = 11,468,560,669.50
  5. Step 5: Solve for x
    x = 11,468,560,669.50/154,643.82
  6. Step 6: Final answer
    x = 74,161.13

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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.