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Finding the Fourth Proportional to 72,806.97, 109,145.43 and 28,423.38

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Solution

The fourth proportional to 72,806.97, 109,145.43 and 28,423.38 is: 42,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.97 : 109,145.43 = 28,423.38 : x
  2. Step 2: Convert to fraction form
    72,806.97/109,145.43 = 28,423.38/x
  3. Step 3: Cross multiply
    72,806.97x = 109,145.43 × 28,423.38
  4. Step 4: Simplify right side
    72,806.97x = 3,102,282,032.15
  5. Step 5: Solve for x
    x = 3,102,282,032.15/72,806.97
  6. Step 6: Final answer
    x = 42,609.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.