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Finding the Fourth Proportional to 219,361.50, 329,043.96 and 53,149.50

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Solution

The fourth proportional to 219,361.50, 329,043.96 and 53,149.50 is: 79,724.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,361.50 : 329,043.96 = 53,149.50 : x
  2. Step 2: Convert to fraction form
    219,361.50/329,043.96 = 53,149.50/x
  3. Step 3: Cross multiply
    219,361.50x = 329,043.96 × 53,149.50
  4. Step 4: Simplify right side
    219,361.50x = 17,488,521,952.02
  5. Step 5: Solve for x
    x = 17,488,521,952.02/219,361.50
  6. Step 6: Final answer
    x = 79,724.66

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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.