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Finding the Fourth Proportional to 259,856.65, 389,717.31 and 110,019.81

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Solution

The fourth proportional to 259,856.65, 389,717.31 and 110,019.81 is: 165,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,856.65 : 389,717.31 = 110,019.81 : x
  2. Step 2: Convert to fraction form
    259,856.65/389,717.31 = 110,019.81/x
  3. Step 3: Cross multiply
    259,856.65x = 389,717.31 × 110,019.81
  4. Step 4: Simplify right side
    259,856.65x = 42,876,623,849.81
  5. Step 5: Solve for x
    x = 42,876,623,849.81/259,856.65
  6. Step 6: Final answer
    x = 165,001.07

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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.