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Finding the Fourth Proportional to 154,137, 231,205.50 and 43,329

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Solution

The fourth proportional to 154,137, 231,205.50 and 43,329 is: 64,993.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,137 : 231,205.50 = 43,329 : x
  2. Step 2: Convert to fraction form
    154,137/231,205.50 = 43,329/x
  3. Step 3: Cross multiply
    154,137x = 231,205.50 × 43,329
  4. Step 4: Simplify right side
    154,137x = 10,017,903,109.50
  5. Step 5: Solve for x
    x = 10,017,903,109.50/154,137
  6. Step 6: Final answer
    x = 64,993.50

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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.