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Finding the Fourth Proportional to 219,424.62, 329,199.98 and 91,315.97

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Solution

The fourth proportional to 219,424.62, 329,199.98 and 91,315.97 is: 137,000.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,424.62 : 329,199.98 = 91,315.97 : x
  2. Step 2: Convert to fraction form
    219,424.62/329,199.98 = 91,315.97/x
  3. Step 3: Cross multiply
    219,424.62x = 329,199.98 × 91,315.97
  4. Step 4: Simplify right side
    219,424.62x = 30,061,214,629.60
  5. Step 5: Solve for x
    x = 30,061,214,629.60/219,424.62
  6. Step 6: Final answer
    x = 137,000.19

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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.