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Finding the Fourth Proportional to 148,806.72, 205,352.64 and 81,737.28

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Solution

The fourth proportional to 148,806.72, 205,352.64 and 81,737.28 is: 112,797.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,806.72 : 205,352.64 = 81,737.28 : x
  2. Step 2: Convert to fraction form
    148,806.72/205,352.64 = 81,737.28/x
  3. Step 3: Cross multiply
    148,806.72x = 205,352.64 × 81,737.28
  4. Step 4: Simplify right side
    148,806.72x = 16,784,966,234.42
  5. Step 5: Solve for x
    x = 16,784,966,234.42/148,806.72
  6. Step 6: Final answer
    x = 112,797.10

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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.