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Finding the Fourth Proportional to 139,736, 209,417 and 68,549.76

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Solution

The fourth proportional to 139,736, 209,417 and 68,549.76 is: 102,732.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,736 : 209,417 = 68,549.76 : x
  2. Step 2: Convert to fraction form
    139,736/209,417 = 68,549.76/x
  3. Step 3: Cross multiply
    139,736x = 209,417 × 68,549.76
  4. Step 4: Simplify right side
    139,736x = 14,355,485,089.92
  5. Step 5: Solve for x
    x = 14,355,485,089.92/139,736
  6. Step 6: Final answer
    x = 102,732.90

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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.