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Finding the Fourth Proportional to 281,493.15, 422,267.45 and 81,815.28

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Solution

The fourth proportional to 281,493.15, 422,267.45 and 81,815.28 is: 122,730.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,493.15 : 422,267.45 = 81,815.28 : x
  2. Step 2: Convert to fraction form
    281,493.15/422,267.45 = 81,815.28/x
  3. Step 3: Cross multiply
    281,493.15x = 422,267.45 × 81,815.28
  4. Step 4: Simplify right side
    281,493.15x = 34,547,929,247.56
  5. Step 5: Solve for x
    x = 34,547,929,247.56/281,493.15
  6. Step 6: Final answer
    x = 122,730.98

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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.