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Finding the Fourth Proportional to 261,980.43, 361,533 and 142,748.43

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Solution

The fourth proportional to 261,980.43, 361,533 and 142,748.43 is: 196,992.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,980.43 : 361,533 = 142,748.43 : x
  2. Step 2: Convert to fraction form
    261,980.43/361,533 = 142,748.43/x
  3. Step 3: Cross multiply
    261,980.43x = 361,533 × 142,748.43
  4. Step 4: Simplify right side
    261,980.43x = 51,608,268,143.19
  5. Step 5: Solve for x
    x = 51,608,268,143.19/261,980.43
  6. Step 6: Final answer
    x = 196,992.84

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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.