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Finding the Fourth Proportional to 219,978.22, 329,950.90 and 75,869.95

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Solution

The fourth proportional to 219,978.22, 329,950.90 and 75,869.95 is: 113,799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,978.22 : 329,950.90 = 75,869.95 : x
  2. Step 2: Convert to fraction form
    219,978.22/329,950.90 = 75,869.95/x
  3. Step 3: Cross multiply
    219,978.22x = 329,950.90 × 75,869.95
  4. Step 4: Simplify right side
    219,978.22x = 25,033,358,285.46
  5. Step 5: Solve for x
    x = 25,033,358,285.46/219,978.22
  6. Step 6: Final answer
    x = 113,799.26

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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.