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Finding the Fourth Proportional to 279,371.70, 419,065.25 and 102,010.86

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Solution

The fourth proportional to 279,371.70, 419,065.25 and 102,010.86 is: 153,019.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,371.70 : 419,065.25 = 102,010.86 : x
  2. Step 2: Convert to fraction form
    279,371.70/419,065.25 = 102,010.86/x
  3. Step 3: Cross multiply
    279,371.70x = 419,065.25 × 102,010.86
  4. Step 4: Simplify right side
    279,371.70x = 42,749,206,038.56
  5. Step 5: Solve for x
    x = 42,749,206,038.56/279,371.70
  6. Step 6: Final answer
    x = 153,019.10

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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.