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Finding the Fourth Proportional to 148,827, 205,381.26 and 81,759

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Solution

The fourth proportional to 148,827, 205,381.26 and 81,759 is: 112,827.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,827 : 205,381.26 = 81,759 : x
  2. Step 2: Convert to fraction form
    148,827/205,381.26 = 81,759/x
  3. Step 3: Cross multiply
    148,827x = 205,381.26 × 81,759
  4. Step 4: Simplify right side
    148,827x = 16,791,766,436.34
  5. Step 5: Solve for x
    x = 16,791,766,436.34/148,827
  6. Step 6: Final answer
    x = 112,827.42

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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.