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Finding the Fourth Proportional to 121,371.84, 182,057.76 and 47,448

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Solution

The fourth proportional to 121,371.84, 182,057.76 and 47,448 is: 71,172

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,371.84 : 182,057.76 = 47,448 : x
  2. Step 2: Convert to fraction form
    121,371.84/182,057.76 = 47,448/x
  3. Step 3: Cross multiply
    121,371.84x = 182,057.76 × 47,448
  4. Step 4: Simplify right side
    121,371.84x = 8,638,276,596.48
  5. Step 5: Solve for x
    x = 8,638,276,596.48/121,371.84
  6. Step 6: Final answer
    x = 71,172

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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.