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Finding the Fourth Proportional to 255,908.43, 353,153.67 and 142,731.18

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Solution

The fourth proportional to 255,908.43, 353,153.67 and 142,731.18 is: 196,969.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,908.43 : 353,153.67 = 142,731.18 : x
  2. Step 2: Convert to fraction form
    255,908.43/353,153.67 = 142,731.18/x
  3. Step 3: Cross multiply
    255,908.43x = 353,153.67 × 142,731.18
  4. Step 4: Simplify right side
    255,908.43x = 50,406,040,040.43
  5. Step 5: Solve for x
    x = 50,406,040,040.43/255,908.43
  6. Step 6: Final answer
    x = 196,969.05

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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.