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Finding the Fourth Proportional to 223,189.30, 334,786.68 and 65,420.95

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Solution

The fourth proportional to 223,189.30, 334,786.68 and 65,420.95 is: 98,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,189.30 : 334,786.68 = 65,420.95 : x
  2. Step 2: Convert to fraction form
    223,189.30/334,786.68 = 65,420.95/x
  3. Step 3: Cross multiply
    223,189.30x = 334,786.68 × 65,420.95
  4. Step 4: Simplify right side
    223,189.30x = 21,902,060,651.91
  5. Step 5: Solve for x
    x = 21,902,060,651.91/223,189.30
  6. Step 6: Final answer
    x = 98,132.22

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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.