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Finding the Fourth Proportional to 220,705, 331,109.34 and 72,961

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Solution

The fourth proportional to 220,705, 331,109.34 and 72,961 is: 109,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,705 : 331,109.34 = 72,961 : x
  2. Step 2: Convert to fraction form
    220,705/331,109.34 = 72,961/x
  3. Step 3: Cross multiply
    220,705x = 331,109.34 × 72,961
  4. Step 4: Simplify right side
    220,705x = 24,158,068,555.74
  5. Step 5: Solve for x
    x = 24,158,068,555.74/220,705
  6. Step 6: Final answer
    x = 109,458.64

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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.