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Finding the Fourth Proportional to 148,355.78, 204,731.20 and 87,956

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Solution

The fourth proportional to 148,355.78, 204,731.20 and 87,956 is: 121,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,355.78 : 204,731.20 = 87,956 : x
  2. Step 2: Convert to fraction form
    148,355.78/204,731.20 = 87,956/x
  3. Step 3: Cross multiply
    148,355.78x = 204,731.20 × 87,956
  4. Step 4: Simplify right side
    148,355.78x = 18,007,337,427.20
  5. Step 5: Solve for x
    x = 18,007,337,427.20/148,355.78
  6. Step 6: Final answer
    x = 121,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.