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Finding the Fourth Proportional to 215,046.60, 322,715.70 and 139,983.90

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Solution

The fourth proportional to 215,046.60, 322,715.70 and 139,983.90 is: 210,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,046.60 : 322,715.70 = 139,983.90 : x
  2. Step 2: Convert to fraction form
    215,046.60/322,715.70 = 139,983.90/x
  3. Step 3: Cross multiply
    215,046.60x = 322,715.70 × 139,983.90
  4. Step 4: Simplify right side
    215,046.60x = 45,175,002,277.23
  5. Step 5: Solve for x
    x = 45,175,002,277.23/215,046.60
  6. Step 6: Final answer
    x = 210,070.76

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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.