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Finding the Fourth Proportional to 90,477, 135,715.50 and 31,296.78

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Solution

The fourth proportional to 90,477, 135,715.50 and 31,296.78 is: 46,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,477 : 135,715.50 = 31,296.78 : x
  2. Step 2: Convert to fraction form
    90,477/135,715.50 = 31,296.78/x
  3. Step 3: Cross multiply
    90,477x = 135,715.50 × 31,296.78
  4. Step 4: Simplify right side
    90,477x = 4,247,458,146.09
  5. Step 5: Solve for x
    x = 4,247,458,146.09/90,477
  6. Step 6: Final answer
    x = 46,945.17

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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.