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Finding the Fourth Proportional to 148,519, 204,956.22 and 81,451

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Solution

The fourth proportional to 148,519, 204,956.22 and 81,451 is: 112,402.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,519 : 204,956.22 = 81,451 : x
  2. Step 2: Convert to fraction form
    148,519/204,956.22 = 81,451/x
  3. Step 3: Cross multiply
    148,519x = 204,956.22 × 81,451
  4. Step 4: Simplify right side
    148,519x = 16,693,889,075.22
  5. Step 5: Solve for x
    x = 16,693,889,075.22/148,519
  6. Step 6: Final answer
    x = 112,402.38

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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.