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Finding the Fourth Proportional to 139,986.20, 209,687.70 and 116,658.20

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Solution

The fourth proportional to 139,986.20, 209,687.70 and 116,658.20 is: 174,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,986.20 : 209,687.70 = 116,658.20 : x
  2. Step 2: Convert to fraction form
    139,986.20/209,687.70 = 116,658.20/x
  3. Step 3: Cross multiply
    139,986.20x = 209,687.70 × 116,658.20
  4. Step 4: Simplify right side
    139,986.20x = 24,461,789,644.14
  5. Step 5: Solve for x
    x = 24,461,789,644.14/139,986.20
  6. Step 6: Final answer
    x = 174,744.29

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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.