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Finding the Fourth Proportional to 281,473.40, 422,237.80 and 81,795.54

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Solution

The fourth proportional to 281,473.40, 422,237.80 and 81,795.54 is: 122,701.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,473.40 : 422,237.80 = 81,795.54 : x
  2. Step 2: Convert to fraction form
    281,473.40/422,237.80 = 81,795.54/x
  3. Step 3: Cross multiply
    281,473.40x = 422,237.80 × 81,795.54
  4. Step 4: Simplify right side
    281,473.40x = 34,537,168,859.41
  5. Step 5: Solve for x
    x = 34,537,168,859.41/281,473.40
  6. Step 6: Final answer
    x = 122,701.36

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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.