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Finding the Fourth Proportional to 281,649.80, 422,502.30 and 81,972.20

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Solution

The fourth proportional to 281,649.80, 422,502.30 and 81,972.20 is: 122,966.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,649.80 : 422,502.30 = 81,972.20 : x
  2. Step 2: Convert to fraction form
    281,649.80/422,502.30 = 81,972.20/x
  3. Step 3: Cross multiply
    281,649.80x = 422,502.30 × 81,972.20
  4. Step 4: Simplify right side
    281,649.80x = 34,633,443,036.06
  5. Step 5: Solve for x
    x = 34,633,443,036.06/281,649.80
  6. Step 6: Final answer
    x = 122,966.33

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1.5x scale

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.