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Finding the Fourth Proportional to 220,706, 331,110.84 and 72,962

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Solution

The fourth proportional to 220,706, 331,110.84 and 72,962 is: 109,460.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,706 : 331,110.84 = 72,962 : x
  2. Step 2: Convert to fraction form
    220,706/331,110.84 = 72,962/x
  3. Step 3: Cross multiply
    220,706x = 331,110.84 × 72,962
  4. Step 4: Simplify right side
    220,706x = 24,158,509,108.08
  5. Step 5: Solve for x
    x = 24,158,509,108.08/220,706
  6. Step 6: Final answer
    x = 109,460.14

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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.