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Finding the Fourth Proportional to 148,545, 204,993.18 and 81,477

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Solution

The fourth proportional to 148,545, 204,993.18 and 81,477 is: 112,438.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,545 : 204,993.18 = 81,477 : x
  2. Step 2: Convert to fraction form
    148,545/204,993.18 = 81,477/x
  3. Step 3: Cross multiply
    148,545x = 204,993.18 × 81,477
  4. Step 4: Simplify right side
    148,545x = 16,702,229,326.86
  5. Step 5: Solve for x
    x = 16,702,229,326.86/148,545
  6. Step 6: Final answer
    x = 112,438.85

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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.