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Finding the Fourth Proportional to 219,481.16, 329,221.80 and 61,709.68

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Solution

The fourth proportional to 219,481.16, 329,221.80 and 61,709.68 is: 92,564.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,481.16 : 329,221.80 = 61,709.68 : x
  2. Step 2: Convert to fraction form
    219,481.16/329,221.80 = 61,709.68/x
  3. Step 3: Cross multiply
    219,481.16x = 329,221.80 × 61,709.68
  4. Step 4: Simplify right side
    219,481.16x = 20,316,171,927.02
  5. Step 5: Solve for x
    x = 20,316,171,927.02/219,481.16
  6. Step 6: Final answer
    x = 92,564.54

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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.