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Finding the Fourth Proportional to 259,764.87, 358,481.61 and 145,039.64

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Solution

The fourth proportional to 259,764.87, 358,481.61 and 145,039.64 is: 200,158.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,764.87 : 358,481.61 = 145,039.64 : x
  2. Step 2: Convert to fraction form
    259,764.87/358,481.61 = 145,039.64/x
  3. Step 3: Cross multiply
    259,764.87x = 358,481.61 × 145,039.64
  4. Step 4: Simplify right side
    259,764.87x = 51,994,041,868.61
  5. Step 5: Solve for x
    x = 51,994,041,868.61/259,764.87
  6. Step 6: Final answer
    x = 200,158.10

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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.