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Finding the Fourth Proportional to 281,209.66, 421,912.91 and 81,542.02

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Solution

The fourth proportional to 281,209.66, 421,912.91 and 81,542.02 is: 122,341.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,209.66 : 421,912.91 = 81,542.02 : x
  2. Step 2: Convert to fraction form
    281,209.66/421,912.91 = 81,542.02/x
  3. Step 3: Cross multiply
    281,209.66x = 421,912.91 × 81,542.02
  4. Step 4: Simplify right side
    281,209.66x = 34,403,630,945.48
  5. Step 5: Solve for x
    x = 34,403,630,945.48/281,209.66
  6. Step 6: Final answer
    x = 122,341.57

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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.