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Finding the Fourth Proportional to 139,402.47, 209,107.81 and 34,221.44

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Solution

The fourth proportional to 139,402.47, 209,107.81 and 34,221.44 is: 51,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,402.47 : 209,107.81 = 34,221.44 : x
  2. Step 2: Convert to fraction form
    139,402.47/209,107.81 = 34,221.44/x
  3. Step 3: Cross multiply
    139,402.47x = 209,107.81 × 34,221.44
  4. Step 4: Simplify right side
    139,402.47x = 7,155,970,373.45
  5. Step 5: Solve for x
    x = 7,155,970,373.45/139,402.47
  6. Step 6: Final answer
    x = 51,333.17

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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.