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Finding the Fourth Proportional to 140,355, 210,568.98 and 41,859

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Solution

The fourth proportional to 140,355, 210,568.98 and 41,859 is: 62,799.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,355 : 210,568.98 = 41,859 : x
  2. Step 2: Convert to fraction form
    140,355/210,568.98 = 41,859/x
  3. Step 3: Cross multiply
    140,355x = 210,568.98 × 41,859
  4. Step 4: Simplify right side
    140,355x = 8,814,206,933.82
  5. Step 5: Solve for x
    x = 8,814,206,933.82/140,355
  6. Step 6: Final answer
    x = 62,799.38

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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.