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Finding the Fourth Proportional to 281,980.88, 422,802.36 and 89,772.24

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Solution

The fourth proportional to 281,980.88, 422,802.36 and 89,772.24 is: 134,604.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,980.88 : 422,802.36 = 89,772.24 : x
  2. Step 2: Convert to fraction form
    281,980.88/422,802.36 = 89,772.24/x
  3. Step 3: Cross multiply
    281,980.88x = 422,802.36 × 89,772.24
  4. Step 4: Simplify right side
    281,980.88x = 37,955,914,934.49
  5. Step 5: Solve for x
    x = 37,955,914,934.49/281,980.88
  6. Step 6: Final answer
    x = 134,604.57

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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.