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Finding the Fourth Proportional to 255,818.25, 353,040.12 and 142,641

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Solution

The fourth proportional to 255,818.25, 353,040.12 and 142,641 is: 196,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,818.25 : 353,040.12 = 142,641 : x
  2. Step 2: Convert to fraction form
    255,818.25/353,040.12 = 142,641/x
  3. Step 3: Cross multiply
    255,818.25x = 353,040.12 × 142,641
  4. Step 4: Simplify right side
    255,818.25x = 50,357,995,756.92
  5. Step 5: Solve for x
    x = 50,357,995,756.92/255,818.25
  6. Step 6: Final answer
    x = 196,850.68

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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.