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Finding the Fourth Proportional to 206,548.78, 284,809.64 and 142,775.86

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Solution

The fourth proportional to 206,548.78, 284,809.64 and 142,775.86 is: 196,873.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,548.78 : 284,809.64 = 142,775.86 : x
  2. Step 2: Convert to fraction form
    206,548.78/284,809.64 = 142,775.86/x
  3. Step 3: Cross multiply
    206,548.78x = 284,809.64 × 142,775.86
  4. Step 4: Simplify right side
    206,548.78x = 40,663,941,287.29
  5. Step 5: Solve for x
    x = 40,663,941,287.29/206,548.78
  6. Step 6: Final answer
    x = 196,873.31

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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.