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Finding the Fourth Proportional to 121,401.52, 182,102.28 and 38,302

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Solution

The fourth proportional to 121,401.52, 182,102.28 and 38,302 is: 57,453

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,401.52 : 182,102.28 = 38,302 : x
  2. Step 2: Convert to fraction form
    121,401.52/182,102.28 = 38,302/x
  3. Step 3: Cross multiply
    121,401.52x = 182,102.28 × 38,302
  4. Step 4: Simplify right side
    121,401.52x = 6,974,881,528.56
  5. Step 5: Solve for x
    x = 6,974,881,528.56/121,401.52
  6. Step 6: Final answer
    x = 57,453

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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.