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Finding the Fourth Proportional to 121,392, 182,088 and 38,286

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Solution

The fourth proportional to 121,392, 182,088 and 38,286 is: 57,429

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,392 : 182,088 = 38,286 : x
  2. Step 2: Convert to fraction form
    121,392/182,088 = 38,286/x
  3. Step 3: Cross multiply
    121,392x = 182,088 × 38,286
  4. Step 4: Simplify right side
    121,392x = 6,971,421,168
  5. Step 5: Solve for x
    x = 6,971,421,168/121,392
  6. Step 6: Final answer
    x = 57,429

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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.