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Finding the Fourth Proportional to 140,892.10, 211,525.80 and 81,770.20

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Solution

The fourth proportional to 140,892.10, 211,525.80 and 81,770.20 is: 122,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,892.10 : 211,525.80 = 81,770.20 : x
  2. Step 2: Convert to fraction form
    140,892.10/211,525.80 = 81,770.20/x
  3. Step 3: Cross multiply
    140,892.10x = 211,525.80 × 81,770.20
  4. Step 4: Simplify right side
    140,892.10x = 17,296,506,971.16
  5. Step 5: Solve for x
    x = 17,296,506,971.16/140,892.10
  6. Step 6: Final answer
    x = 122,764.21

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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.