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Finding the Fourth Proportional to 159,166.56, 219,647.50 and 87,542.31

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Solution

The fourth proportional to 159,166.56, 219,647.50 and 87,542.31 is: 120,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,166.56 : 219,647.50 = 87,542.31 : x
  2. Step 2: Convert to fraction form
    159,166.56/219,647.50 = 87,542.31/x
  3. Step 3: Cross multiply
    159,166.56x = 219,647.50 × 87,542.31
  4. Step 4: Simplify right side
    159,166.56x = 19,228,449,535.73
  5. Step 5: Solve for x
    x = 19,228,449,535.73/159,166.56
  6. Step 6: Final answer
    x = 120,807.09

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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.