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Finding the Fourth Proportional to 223,996.80, 336,045 and 81,841.80

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Solution

The fourth proportional to 223,996.80, 336,045 and 81,841.80 is: 122,780.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,996.80 : 336,045 = 81,841.80 : x
  2. Step 2: Convert to fraction form
    223,996.80/336,045 = 81,841.80/x
  3. Step 3: Cross multiply
    223,996.80x = 336,045 × 81,841.80
  4. Step 4: Simplify right side
    223,996.80x = 27,502,527,681
  5. Step 5: Solve for x
    x = 27,502,527,681/223,996.80
  6. Step 6: Final answer
    x = 122,780.90

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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.