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Finding the Fourth Proportional to 91,194.72, 125,796.10 and 54,871

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Solution

The fourth proportional to 91,194.72, 125,796.10 and 54,871 is: 75,690.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,194.72 : 125,796.10 = 54,871 : x
  2. Step 2: Convert to fraction form
    91,194.72/125,796.10 = 54,871/x
  3. Step 3: Cross multiply
    91,194.72x = 125,796.10 × 54,871
  4. Step 4: Simplify right side
    91,194.72x = 6,902,557,803.10
  5. Step 5: Solve for x
    x = 6,902,557,803.10/91,194.72
  6. Step 6: Final answer
    x = 75,690.32

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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.