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Finding the Fourth Proportional to 105,757.26, 145,944.63 and 65,463

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Solution

The fourth proportional to 105,757.26, 145,944.63 and 65,463 is: 90,338.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.26 : 145,944.63 = 65,463 : x
  2. Step 2: Convert to fraction form
    105,757.26/145,944.63 = 65,463/x
  3. Step 3: Cross multiply
    105,757.26x = 145,944.63 × 65,463
  4. Step 4: Simplify right side
    105,757.26x = 9,553,973,313.69
  5. Step 5: Solve for x
    x = 9,553,973,313.69/105,757.26
  6. Step 6: Final answer
    x = 90,338.70

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1.5x scale

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.