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Finding the Fourth Proportional to 148,906, 223,400.69 and 60,221.78

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Solution

The fourth proportional to 148,906, 223,400.69 and 60,221.78 is: 90,349.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,906 : 223,400.69 = 60,221.78 : x
  2. Step 2: Convert to fraction form
    148,906/223,400.69 = 60,221.78/x
  3. Step 3: Cross multiply
    148,906x = 223,400.69 × 60,221.78
  4. Step 4: Simplify right side
    148,906x = 13,453,587,205.03
  5. Step 5: Solve for x
    x = 13,453,587,205.03/148,906
  6. Step 6: Final answer
    x = 90,349.53

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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.