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Finding the Fourth Proportional to 281,324.41, 421,973.65 and 81,640.78

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Solution

The fourth proportional to 281,324.41, 421,973.65 and 81,640.78 is: 122,457.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,324.41 : 421,973.65 = 81,640.78 : x
  2. Step 2: Convert to fraction form
    281,324.41/421,973.65 = 81,640.78/x
  3. Step 3: Cross multiply
    281,324.41x = 421,973.65 × 81,640.78
  4. Step 4: Simplify right side
    281,324.41x = 34,450,257,925.45
  5. Step 5: Solve for x
    x = 34,450,257,925.45/281,324.41
  6. Step 6: Final answer
    x = 122,457.41

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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.