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Finding the Fourth Proportional to 76,188.36, 105,127.44 and 47,874

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Solution

The fourth proportional to 76,188.36, 105,127.44 and 47,874 is: 66,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.36 : 105,127.44 = 47,874 : x
  2. Step 2: Convert to fraction form
    76,188.36/105,127.44 = 47,874/x
  3. Step 3: Cross multiply
    76,188.36x = 105,127.44 × 47,874
  4. Step 4: Simplify right side
    76,188.36x = 5,032,871,062.56
  5. Step 5: Solve for x
    x = 5,032,871,062.56/76,188.36
  6. Step 6: Final answer
    x = 66,058.27

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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.