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Finding the Fourth Proportional to 139,352.16, 209,027.09 and 82,817.87

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Solution

The fourth proportional to 139,352.16, 209,027.09 and 82,817.87 is: 124,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,352.16 : 209,027.09 = 82,817.87 : x
  2. Step 2: Convert to fraction form
    139,352.16/209,027.09 = 82,817.87/x
  3. Step 3: Cross multiply
    139,352.16x = 209,027.09 × 82,817.87
  4. Step 4: Simplify right side
    139,352.16x = 17,311,178,822.11
  5. Step 5: Solve for x
    x = 17,311,178,822.11/139,352.16
  6. Step 6: Final answer
    x = 124,226.12

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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.