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Finding the Fourth Proportional to 71,683, 106,829.99 and 67,950.52

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Solution

The fourth proportional to 71,683, 106,829.99 and 67,950.52 is: 101,267.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,683 : 106,829.99 = 67,950.52 : x
  2. Step 2: Convert to fraction form
    71,683/106,829.99 = 67,950.52/x
  3. Step 3: Cross multiply
    71,683x = 106,829.99 × 67,950.52
  4. Step 4: Simplify right side
    71,683x = 7,259,153,372.09
  5. Step 5: Solve for x
    x = 7,259,153,372.09/71,683
  6. Step 6: Final answer
    x = 101,267.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.