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Finding the Fourth Proportional to 281,691.95, 422,533.85 and 68,461.43

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Solution

The fourth proportional to 281,691.95, 422,533.85 and 68,461.43 is: 102,691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,691.95 : 422,533.85 = 68,461.43 : x
  2. Step 2: Convert to fraction form
    281,691.95/422,533.85 = 68,461.43/x
  3. Step 3: Cross multiply
    281,691.95x = 422,533.85 × 68,461.43
  4. Step 4: Simplify right side
    281,691.95x = 28,927,271,252.10
  5. Step 5: Solve for x
    x = 28,927,271,252.10/281,691.95
  6. Step 6: Final answer
    x = 102,691.15

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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.