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Finding the Fourth Proportional to 281,031.56, 421,569.32 and 81,354.96

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Solution

The fourth proportional to 281,031.56, 421,569.32 and 81,354.96 is: 122,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,031.56 : 421,569.32 = 81,354.96 : x
  2. Step 2: Convert to fraction form
    281,031.56/421,569.32 = 81,354.96/x
  3. Step 3: Cross multiply
    281,031.56x = 421,569.32 × 81,354.96
  4. Step 4: Simplify right side
    281,031.56x = 34,296,755,165.83
  5. Step 5: Solve for x
    x = 34,296,755,165.83/281,031.56
  6. Step 6: Final answer
    x = 122,038.80

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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.