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Finding the Fourth Proportional to 91,270, 125,952.60 and 51,526

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Solution

The fourth proportional to 91,270, 125,952.60 and 51,526 is: 71,105.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,270 : 125,952.60 = 51,526 : x
  2. Step 2: Convert to fraction form
    91,270/125,952.60 = 51,526/x
  3. Step 3: Cross multiply
    91,270x = 125,952.60 × 51,526
  4. Step 4: Simplify right side
    91,270x = 6,489,833,667.60
  5. Step 5: Solve for x
    x = 6,489,833,667.60/91,270
  6. Step 6: Final answer
    x = 71,105.88

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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.