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Finding the Fourth Proportional to 139,863.80, 209,795.70 and 83,876.60

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Solution

The fourth proportional to 139,863.80, 209,795.70 and 83,876.60 is: 125,814.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,863.80 : 209,795.70 = 83,876.60 : x
  2. Step 2: Convert to fraction form
    139,863.80/209,795.70 = 83,876.60/x
  3. Step 3: Cross multiply
    139,863.80x = 209,795.70 × 83,876.60
  4. Step 4: Simplify right side
    139,863.80x = 17,596,950,010.62
  5. Step 5: Solve for x
    x = 17,596,950,010.62/139,863.80
  6. Step 6: Final answer
    x = 125,814.90

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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.