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Finding the Fourth Proportional to 65,463, 90,338.94 and 35,655

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Solution

The fourth proportional to 65,463, 90,338.94 and 35,655 is: 49,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,463 : 90,338.94 = 35,655 : x
  2. Step 2: Convert to fraction form
    65,463/90,338.94 = 35,655/x
  3. Step 3: Cross multiply
    65,463x = 90,338.94 × 35,655
  4. Step 4: Simplify right side
    65,463x = 3,221,034,905.70
  5. Step 5: Solve for x
    x = 3,221,034,905.70/65,463
  6. Step 6: Final answer
    x = 49,203.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.