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Finding the Fourth Proportional to 219,758.42, 329,645.74 and 61,991.10

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Solution

The fourth proportional to 219,758.42, 329,645.74 and 61,991.10 is: 92,988.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,758.42 : 329,645.74 = 61,991.10 : x
  2. Step 2: Convert to fraction form
    219,758.42/329,645.74 = 61,991.10/x
  3. Step 3: Cross multiply
    219,758.42x = 329,645.74 × 61,991.10
  4. Step 4: Simplify right side
    219,758.42x = 20,435,102,032.91
  5. Step 5: Solve for x
    x = 20,435,102,032.91/219,758.42
  6. Step 6: Final answer
    x = 92,988.94

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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.