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Finding the Fourth Proportional to 281,802, 422,695.56 and 82,177.50

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Solution

The fourth proportional to 281,802, 422,695.56 and 82,177.50 is: 123,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,802 : 422,695.56 = 82,177.50 : x
  2. Step 2: Convert to fraction form
    281,802/422,695.56 = 82,177.50/x
  3. Step 3: Cross multiply
    281,802x = 422,695.56 × 82,177.50
  4. Step 4: Simplify right side
    281,802x = 34,736,064,381.90
  5. Step 5: Solve for x
    x = 34,736,064,381.90/281,802
  6. Step 6: Final answer
    x = 123,264.08

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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.