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Finding the Fourth Proportional to 203,354.90, 280,646.56 and 112,739.29

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Solution

The fourth proportional to 203,354.90, 280,646.56 and 112,739.29 is: 155,589.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,354.90 : 280,646.56 = 112,739.29 : x
  2. Step 2: Convert to fraction form
    203,354.90/280,646.56 = 112,739.29/x
  3. Step 3: Cross multiply
    203,354.90x = 280,646.56 × 112,739.29
  4. Step 4: Simplify right side
    203,354.90x = 31,639,891,948.41
  5. Step 5: Solve for x
    x = 31,639,891,948.41/203,354.90
  6. Step 6: Final answer
    x = 155,589.52

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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.