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Finding the Fourth Proportional to 76,885, 106,101.30 and 41,557

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Solution

The fourth proportional to 76,885, 106,101.30 and 41,557 is: 57,348.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,885 : 106,101.30 = 41,557 : x
  2. Step 2: Convert to fraction form
    76,885/106,101.30 = 41,557/x
  3. Step 3: Cross multiply
    76,885x = 106,101.30 × 41,557
  4. Step 4: Simplify right side
    76,885x = 4,409,251,724.10
  5. Step 5: Solve for x
    x = 4,409,251,724.10/76,885
  6. Step 6: Final answer
    x = 57,348.66

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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.