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Finding the Fourth Proportional to 148,874.25, 205,446.48 and 81,806.25

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Solution

The fourth proportional to 148,874.25, 205,446.48 and 81,806.25 is: 112,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,874.25 : 205,446.48 = 81,806.25 : x
  2. Step 2: Convert to fraction form
    148,874.25/205,446.48 = 81,806.25/x
  3. Step 3: Cross multiply
    148,874.25x = 205,446.48 × 81,806.25
  4. Step 4: Simplify right side
    148,874.25x = 16,806,806,104.50
  5. Step 5: Solve for x
    x = 16,806,806,104.50/148,874.25
  6. Step 6: Final answer
    x = 112,892.63

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1.5x scale

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.