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Finding the Fourth Proportional to 51,788.92, 71,462.42 and 28,813.30

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Solution

The fourth proportional to 51,788.92, 71,462.42 and 28,813.30 is: 39,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,788.92 : 71,462.42 = 28,813.30 : x
  2. Step 2: Convert to fraction form
    51,788.92/71,462.42 = 28,813.30/x
  3. Step 3: Cross multiply
    51,788.92x = 71,462.42 × 28,813.30
  4. Step 4: Simplify right side
    51,788.92x = 2,059,068,146.19
  5. Step 5: Solve for x
    x = 2,059,068,146.19/51,788.92
  6. Step 6: Final answer
    x = 39,758.85

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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.