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Finding the Fourth Proportional to 91,286.75, 136,947.41 and 42,038.75

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Solution

The fourth proportional to 91,286.75, 136,947.41 and 42,038.75 is: 63,066.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,286.75 : 136,947.41 = 42,038.75 : x
  2. Step 2: Convert to fraction form
    91,286.75/136,947.41 = 42,038.75/x
  3. Step 3: Cross multiply
    91,286.75x = 136,947.41 × 42,038.75
  4. Step 4: Simplify right side
    91,286.75x = 5,757,097,932.14
  5. Step 5: Solve for x
    x = 5,757,097,932.14/91,286.75
  6. Step 6: Final answer
    x = 63,066.08

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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.