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Finding the Fourth Proportional to 75,405.60, 104,058 and 41,871.60

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Solution

The fourth proportional to 75,405.60, 104,058 and 41,871.60 is: 57,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,405.60 : 104,058 = 41,871.60 : x
  2. Step 2: Convert to fraction form
    75,405.60/104,058 = 41,871.60/x
  3. Step 3: Cross multiply
    75,405.60x = 104,058 × 41,871.60
  4. Step 4: Simplify right side
    75,405.60x = 4,357,074,952.80
  5. Step 5: Solve for x
    x = 4,357,074,952.80/75,405.60
  6. Step 6: Final answer
    x = 57,781.85

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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.