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Finding the Fourth Proportional to 91,507.68, 126,286.24 and 53,268

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Solution

The fourth proportional to 91,507.68, 126,286.24 and 53,268 is: 73,513.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,507.68 : 126,286.24 = 53,268 : x
  2. Step 2: Convert to fraction form
    91,507.68/126,286.24 = 53,268/x
  3. Step 3: Cross multiply
    91,507.68x = 126,286.24 × 53,268
  4. Step 4: Simplify right side
    91,507.68x = 6,727,015,432.32
  5. Step 5: Solve for x
    x = 6,727,015,432.32/91,507.68
  6. Step 6: Final answer
    x = 73,513.12

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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.