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Finding the Fourth Proportional to 154,578.70, 231,868.05 and 75,846.70

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Solution

The fourth proportional to 154,578.70, 231,868.05 and 75,846.70 is: 113,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,578.70 : 231,868.05 = 75,846.70 : x
  2. Step 2: Convert to fraction form
    154,578.70/231,868.05 = 75,846.70/x
  3. Step 3: Cross multiply
    154,578.70x = 231,868.05 × 75,846.70
  4. Step 4: Simplify right side
    154,578.70x = 17,586,426,427.94
  5. Step 5: Solve for x
    x = 17,586,426,427.94/154,578.70
  6. Step 6: Final answer
    x = 113,770.05

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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.