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Finding the Fourth Proportional to 148,950, 205,551 and 81,882

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Solution

The fourth proportional to 148,950, 205,551 and 81,882 is: 112,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,950 : 205,551 = 81,882 : x
  2. Step 2: Convert to fraction form
    148,950/205,551 = 81,882/x
  3. Step 3: Cross multiply
    148,950x = 205,551 × 81,882
  4. Step 4: Simplify right side
    148,950x = 16,830,926,982
  5. Step 5: Solve for x
    x = 16,830,926,982/148,950
  6. Step 6: Final answer
    x = 112,997.16

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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.