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Finding the Fourth Proportional to 281,325.60, 421,922.16 and 81,593.28

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Solution

The fourth proportional to 281,325.60, 421,922.16 and 81,593.28 is: 122,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,325.60 : 421,922.16 = 81,593.28 : x
  2. Step 2: Convert to fraction form
    281,325.60/421,922.16 = 81,593.28/x
  3. Step 3: Cross multiply
    281,325.60x = 421,922.16 × 81,593.28
  4. Step 4: Simplify right side
    281,325.60x = 34,426,012,939.08
  5. Step 5: Solve for x
    x = 34,426,012,939.08/281,325.60
  6. Step 6: Final answer
    x = 122,370.71

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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.