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Finding the Fourth Proportional to 220,905, 331,357.50 and 54,693

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Solution

The fourth proportional to 220,905, 331,357.50 and 54,693 is: 82,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,905 : 331,357.50 = 54,693 : x
  2. Step 2: Convert to fraction form
    220,905/331,357.50 = 54,693/x
  3. Step 3: Cross multiply
    220,905x = 331,357.50 × 54,693
  4. Step 4: Simplify right side
    220,905x = 18,122,935,747.50
  5. Step 5: Solve for x
    x = 18,122,935,747.50/220,905
  6. Step 6: Final answer
    x = 82,039.50

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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.