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Finding the Fourth Proportional to 139,382.52, 208,957.05 and 97,138.68

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Solution

The fourth proportional to 139,382.52, 208,957.05 and 97,138.68 is: 145,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,382.52 : 208,957.05 = 97,138.68 : x
  2. Step 2: Convert to fraction form
    139,382.52/208,957.05 = 97,138.68/x
  3. Step 3: Cross multiply
    139,382.52x = 208,957.05 × 97,138.68
  4. Step 4: Simplify right side
    139,382.52x = 20,297,812,013.69
  5. Step 5: Solve for x
    x = 20,297,812,013.69/139,382.52
  6. Step 6: Final answer
    x = 145,626.67

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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.