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Finding the Fourth Proportional to 263,709.32, 363,920.61 and 142,850.61

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Solution

The fourth proportional to 263,709.32, 363,920.61 and 142,850.61 is: 197,134.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,709.32 : 363,920.61 = 142,850.61 : x
  2. Step 2: Convert to fraction form
    263,709.32/363,920.61 = 142,850.61/x
  3. Step 3: Cross multiply
    263,709.32x = 363,920.61 × 142,850.61
  4. Step 4: Simplify right side
    263,709.32x = 51,986,281,130.07
  5. Step 5: Solve for x
    x = 51,986,281,130.07/263,709.32
  6. Step 6: Final answer
    x = 197,134.79

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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.