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Finding the Fourth Proportional to 220,907, 331,360.50 and 54,695

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Solution

The fourth proportional to 220,907, 331,360.50 and 54,695 is: 82,042.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,907 : 331,360.50 = 54,695 : x
  2. Step 2: Convert to fraction form
    220,907/331,360.50 = 54,695/x
  3. Step 3: Cross multiply
    220,907x = 331,360.50 × 54,695
  4. Step 4: Simplify right side
    220,907x = 18,123,762,547.50
  5. Step 5: Solve for x
    x = 18,123,762,547.50/220,907
  6. Step 6: Final answer
    x = 82,042.50

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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.