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Finding the Fourth Proportional to 121,434, 182,151.12 and 38,328

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Solution

The fourth proportional to 121,434, 182,151.12 and 38,328 is: 57,492.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,434 : 182,151.12 = 38,328 : x
  2. Step 2: Convert to fraction form
    121,434/182,151.12 = 38,328/x
  3. Step 3: Cross multiply
    121,434x = 182,151.12 × 38,328
  4. Step 4: Simplify right side
    121,434x = 6,981,488,127.36
  5. Step 5: Solve for x
    x = 6,981,488,127.36/121,434
  6. Step 6: Final answer
    x = 57,492.04

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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.