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Finding the Fourth Proportional to 121,872.75, 182,809.71 and 31,915.29

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Solution

The fourth proportional to 121,872.75, 182,809.71 and 31,915.29 is: 47,873.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,872.75 : 182,809.71 = 31,915.29 : x
  2. Step 2: Convert to fraction form
    121,872.75/182,809.71 = 31,915.29/x
  3. Step 3: Cross multiply
    121,872.75x = 182,809.71 × 31,915.29
  4. Step 4: Simplify right side
    121,872.75x = 5,834,425,269.08
  5. Step 5: Solve for x
    x = 5,834,425,269.08/121,872.75
  6. Step 6: Final answer
    x = 47,873.09

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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.