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Finding the Fourth Proportional to 223,089.78, 334,610.19 and 65,319.78

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Solution

The fourth proportional to 223,089.78, 334,610.19 and 65,319.78 is: 97,972.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,089.78 : 334,610.19 = 65,319.78 : x
  2. Step 2: Convert to fraction form
    223,089.78/334,610.19 = 65,319.78/x
  3. Step 3: Cross multiply
    223,089.78x = 334,610.19 × 65,319.78
  4. Step 4: Simplify right side
    223,089.78x = 21,856,663,996.56
  5. Step 5: Solve for x
    x = 21,856,663,996.56/223,089.78
  6. Step 6: Final answer
    x = 97,972.50

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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.