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Finding the Fourth Proportional to 342,067.10, 513,156.81 and 105,409.82

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Solution

The fourth proportional to 342,067.10, 513,156.81 and 105,409.82 is: 158,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,067.10 : 513,156.81 = 105,409.82 : x
  2. Step 2: Convert to fraction form
    342,067.10/513,156.81 = 105,409.82/x
  3. Step 3: Cross multiply
    342,067.10x = 513,156.81 × 105,409.82
  4. Step 4: Simplify right side
    342,067.10x = 54,091,766,973.87
  5. Step 5: Solve for x
    x = 54,091,766,973.87/342,067.10
  6. Step 6: Final answer
    x = 158,132.04

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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.