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Finding the Fourth Proportional to 49,134.86, 73,730.86 and 20,669.72

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Solution

The fourth proportional to 49,134.86, 73,730.86 and 20,669.72 is: 31,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,134.86 : 73,730.86 = 20,669.72 : x
  2. Step 2: Convert to fraction form
    49,134.86/73,730.86 = 20,669.72/x
  3. Step 3: Cross multiply
    49,134.86x = 73,730.86 × 20,669.72
  4. Step 4: Simplify right side
    49,134.86x = 1,523,996,312.54
  5. Step 5: Solve for x
    x = 1,523,996,312.54/49,134.86
  6. Step 6: Final answer
    x = 31,016.60

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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.