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Finding the Fourth Proportional to 281,475.90, 422,241.54 and 81,798.06

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Solution

The fourth proportional to 281,475.90, 422,241.54 and 81,798.06 is: 122,705.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,475.90 : 422,241.54 = 81,798.06 : x
  2. Step 2: Convert to fraction form
    281,475.90/422,241.54 = 81,798.06/x
  3. Step 3: Cross multiply
    281,475.90x = 422,241.54 × 81,798.06
  4. Step 4: Simplify right side
    281,475.90x = 34,538,538,823.41
  5. Step 5: Solve for x
    x = 34,538,538,823.41/281,475.90
  6. Step 6: Final answer
    x = 122,705.14

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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.