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Finding the Fourth Proportional to 159,144.10, 219,623.07 and 86,551.90

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Solution

The fourth proportional to 159,144.10, 219,623.07 and 86,551.90 is: 119,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,144.10 : 219,623.07 = 86,551.90 : x
  2. Step 2: Convert to fraction form
    159,144.10/219,623.07 = 86,551.90/x
  3. Step 3: Cross multiply
    159,144.10x = 219,623.07 × 86,551.90
  4. Step 4: Simplify right side
    159,144.10x = 19,008,793,992.33
  5. Step 5: Solve for x
    x = 19,008,793,992.33/159,144.10
  6. Step 6: Final answer
    x = 119,443.91

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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.