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Finding the Fourth Proportional to 148,930.44, 205,524.01 and 81,862.44

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Solution

The fourth proportional to 148,930.44, 205,524.01 and 81,862.44 is: 112,970.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,930.44 : 205,524.01 = 81,862.44 : x
  2. Step 2: Convert to fraction form
    148,930.44/205,524.01 = 81,862.44/x
  3. Step 3: Cross multiply
    148,930.44x = 205,524.01 × 81,862.44
  4. Step 4: Simplify right side
    148,930.44x = 16,824,696,937.18
  5. Step 5: Solve for x
    x = 16,824,696,937.18/148,930.44
  6. Step 6: Final answer
    x = 112,970.17

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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.