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Finding the Fourth Proportional to 154,374, 231,561 and 37,638

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Solution

The fourth proportional to 154,374, 231,561 and 37,638 is: 56,457

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,374 : 231,561 = 37,638 : x
  2. Step 2: Convert to fraction form
    154,374/231,561 = 37,638/x
  3. Step 3: Cross multiply
    154,374x = 231,561 × 37,638
  4. Step 4: Simplify right side
    154,374x = 8,715,492,918
  5. Step 5: Solve for x
    x = 8,715,492,918/154,374
  6. Step 6: Final answer
    x = 56,457

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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.