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Finding the Fourth Proportional to 91,249, 125,923.68 and 51,505

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Solution

The fourth proportional to 91,249, 125,923.68 and 51,505 is: 71,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,249 : 125,923.68 = 51,505 : x
  2. Step 2: Convert to fraction form
    91,249/125,923.68 = 51,505/x
  3. Step 3: Cross multiply
    91,249x = 125,923.68 × 51,505
  4. Step 4: Simplify right side
    91,249x = 6,485,699,138.40
  5. Step 5: Solve for x
    x = 6,485,699,138.40/91,249
  6. Step 6: Final answer
    x = 71,076.93

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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.