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Finding the Fourth Proportional to 159,057.36, 219,499.08 and 87,442

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Solution

The fourth proportional to 159,057.36, 219,499.08 and 87,442 is: 120,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,057.36 : 219,499.08 = 87,442 : x
  2. Step 2: Convert to fraction form
    159,057.36/219,499.08 = 87,442/x
  3. Step 3: Cross multiply
    159,057.36x = 219,499.08 × 87,442
  4. Step 4: Simplify right side
    159,057.36x = 19,193,438,553.36
  5. Step 5: Solve for x
    x = 19,193,438,553.36/159,057.36
  6. Step 6: Final answer
    x = 120,669.92

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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.