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Finding the Fourth Proportional to 281,753.10, 423,067.05 and 163,655.10

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Solution

The fourth proportional to 281,753.10, 423,067.05 and 163,655.10 is: 245,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,753.10 : 423,067.05 = 163,655.10 : x
  2. Step 2: Convert to fraction form
    281,753.10/423,067.05 = 163,655.10/x
  3. Step 3: Cross multiply
    281,753.10x = 423,067.05 × 163,655.10
  4. Step 4: Simplify right side
    281,753.10x = 69,237,080,374.46
  5. Step 5: Solve for x
    x = 69,237,080,374.46/281,753.10
  6. Step 6: Final answer
    x = 245,736.71

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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.