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Finding the Fourth Proportional to 268,825.52, 403,209.48 and 81,838.64

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Solution

The fourth proportional to 268,825.52, 403,209.48 and 81,838.64 is: 122,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,825.52 : 403,209.48 = 81,838.64 : x
  2. Step 2: Convert to fraction form
    268,825.52/403,209.48 = 81,838.64/x
  3. Step 3: Cross multiply
    268,825.52x = 403,209.48 × 81,838.64
  4. Step 4: Simplify right side
    268,825.52x = 32,998,115,478.31
  5. Step 5: Solve for x
    x = 32,998,115,478.31/268,825.52
  6. Step 6: Final answer
    x = 122,749.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.