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Finding the Fourth Proportional to 281,118.40, 421,677.60 and 81,445.30

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Solution

The fourth proportional to 281,118.40, 421,677.60 and 81,445.30 is: 122,167.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,118.40 : 421,677.60 = 81,445.30 : x
  2. Step 2: Convert to fraction form
    281,118.40/421,677.60 = 81,445.30/x
  3. Step 3: Cross multiply
    281,118.40x = 421,677.60 × 81,445.30
  4. Step 4: Simplify right side
    281,118.40x = 34,343,658,635.28
  5. Step 5: Solve for x
    x = 34,343,658,635.28/281,118.40
  6. Step 6: Final answer
    x = 122,167.95

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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.