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Finding the Fourth Proportional to 221,930, 306,264.48 and 121,328

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Solution

The fourth proportional to 221,930, 306,264.48 and 121,328 is: 167,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,930 : 306,264.48 = 121,328 : x
  2. Step 2: Convert to fraction form
    221,930/306,264.48 = 121,328/x
  3. Step 3: Cross multiply
    221,930x = 306,264.48 × 121,328
  4. Step 4: Simplify right side
    221,930x = 37,158,456,829.44
  5. Step 5: Solve for x
    x = 37,158,456,829.44/221,930
  6. Step 6: Final answer
    x = 167,433.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.