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Finding the Fourth Proportional to 281,661.19, 422,492.10 and 71,299.13

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Solution

The fourth proportional to 281,661.19, 422,492.10 and 71,299.13 is: 106,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,661.19 : 422,492.10 = 71,299.13 : x
  2. Step 2: Convert to fraction form
    281,661.19/422,492.10 = 71,299.13/x
  3. Step 3: Cross multiply
    281,661.19x = 422,492.10 × 71,299.13
  4. Step 4: Simplify right side
    281,661.19x = 30,123,319,161.87
  5. Step 5: Solve for x
    x = 30,123,319,161.87/281,661.19
  6. Step 6: Final answer
    x = 106,948.77

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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.