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Finding the Fourth Proportional to 139,119.64, 208,212.90 and 114,158.68

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Solution

The fourth proportional to 139,119.64, 208,212.90 and 114,158.68 is: 170,855.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,119.64 : 208,212.90 = 114,158.68 : x
  2. Step 2: Convert to fraction form
    139,119.64/208,212.90 = 114,158.68/x
  3. Step 3: Cross multiply
    139,119.64x = 208,212.90 × 114,158.68
  4. Step 4: Simplify right side
    139,119.64x = 23,769,309,822.97
  5. Step 5: Solve for x
    x = 23,769,309,822.97/139,119.64
  6. Step 6: Final answer
    x = 170,855.17

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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.