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Finding the Fourth Proportional to 154,650, 231,975 and 37,914

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Solution

The fourth proportional to 154,650, 231,975 and 37,914 is: 56,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,650 : 231,975 = 37,914 : x
  2. Step 2: Convert to fraction form
    154,650/231,975 = 37,914/x
  3. Step 3: Cross multiply
    154,650x = 231,975 × 37,914
  4. Step 4: Simplify right side
    154,650x = 8,795,100,150
  5. Step 5: Solve for x
    x = 8,795,100,150/154,650
  6. Step 6: Final answer
    x = 56,871

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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.