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Finding the Fourth Proportional to 255,908.68, 353,154.02 and 142,731.43

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Solution

The fourth proportional to 255,908.68, 353,154.02 and 142,731.43 is: 196,969.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908.68 : 353,154.02 = 142,731.43 : x
  2. Step 2: Convert to fraction form
    255,908.68/353,154.02 = 142,731.43/x
  3. Step 3: Cross multiply
    255,908.68x = 353,154.02 × 142,731.43
  4. Step 4: Simplify right side
    255,908.68x = 50,406,177,571.19
  5. Step 5: Solve for x
    x = 50,406,177,571.19/255,908.68
  6. Step 6: Final answer
    x = 196,969.39

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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.