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Finding the Fourth Proportional to 148,546, 204,994.56 and 81,478

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Solution

The fourth proportional to 148,546, 204,994.56 and 81,478 is: 112,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,546 : 204,994.56 = 81,478 : x
  2. Step 2: Convert to fraction form
    148,546/204,994.56 = 81,478/x
  3. Step 3: Cross multiply
    148,546x = 204,994.56 × 81,478
  4. Step 4: Simplify right side
    148,546x = 16,702,546,759.68
  5. Step 5: Solve for x
    x = 16,702,546,759.68/148,546
  6. Step 6: Final answer
    x = 112,440.23

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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.