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Finding the Fourth Proportional to 149,307.90, 206,044.86 and 82,239.90

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Solution

The fourth proportional to 149,307.90, 206,044.86 and 82,239.90 is: 113,491.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,307.90 : 206,044.86 = 82,239.90 : x
  2. Step 2: Convert to fraction form
    149,307.90/206,044.86 = 82,239.90/x
  3. Step 3: Cross multiply
    149,307.90x = 206,044.86 × 82,239.90
  4. Step 4: Simplify right side
    149,307.90x = 16,945,108,681.91
  5. Step 5: Solve for x
    x = 16,945,108,681.91/149,307.90
  6. Step 6: Final answer
    x = 113,491.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.