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Finding the Fourth Proportional to 148,370, 204,750.68 and 81,302

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Solution

The fourth proportional to 148,370, 204,750.68 and 81,302 is: 112,196.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,370 : 204,750.68 = 81,302 : x
  2. Step 2: Convert to fraction form
    148,370/204,750.68 = 81,302/x
  3. Step 3: Cross multiply
    148,370x = 204,750.68 × 81,302
  4. Step 4: Simplify right side
    148,370x = 16,646,639,785.36
  5. Step 5: Solve for x
    x = 16,646,639,785.36/148,370
  6. Step 6: Final answer
    x = 112,196.80

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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.