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Finding the Fourth Proportional to 342,008.37, 513,067.68 and 105,350.82

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Solution

The fourth proportional to 342,008.37, 513,067.68 and 105,350.82 is: 158,043.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,008.37 : 513,067.68 = 105,350.82 : x
  2. Step 2: Convert to fraction form
    342,008.37/513,067.68 = 105,350.82/x
  3. Step 3: Cross multiply
    342,008.37x = 513,067.68 × 105,350.82
  4. Step 4: Simplify right side
    342,008.37x = 54,052,100,803.50
  5. Step 5: Solve for x
    x = 54,052,100,803.50/342,008.37
  6. Step 6: Final answer
    x = 158,043.21

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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.