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Finding the Fourth Proportional to 281,580.39, 422,442.14 and 81,900.77

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Solution

The fourth proportional to 281,580.39, 422,442.14 and 81,900.77 is: 122,871.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,580.39 : 422,442.14 = 81,900.77 : x
  2. Step 2: Convert to fraction form
    281,580.39/422,442.14 = 81,900.77/x
  3. Step 3: Cross multiply
    281,580.39x = 422,442.14 × 81,900.77
  4. Step 4: Simplify right side
    281,580.39x = 34,598,334,024.73
  5. Step 5: Solve for x
    x = 34,598,334,024.73/281,580.39
  6. Step 6: Final answer
    x = 122,871.96

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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.