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Finding the Fourth Proportional to 221,460, 305,615.10 and 120,858

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Solution

The fourth proportional to 221,460, 305,615.10 and 120,858 is: 166,784.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460 : 305,615.10 = 120,858 : x
  2. Step 2: Convert to fraction form
    221,460/305,615.10 = 120,858/x
  3. Step 3: Cross multiply
    221,460x = 305,615.10 × 120,858
  4. Step 4: Simplify right side
    221,460x = 36,936,029,755.80
  5. Step 5: Solve for x
    x = 36,936,029,755.80/221,460
  6. Step 6: Final answer
    x = 166,784.20

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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.