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Finding the Fourth Proportional to 49,298.72, 68,035.79 and 28,077.98

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Solution

The fourth proportional to 49,298.72, 68,035.79 and 28,077.98 is: 38,749.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,298.72 : 68,035.79 = 28,077.98 : x
  2. Step 2: Convert to fraction form
    49,298.72/68,035.79 = 28,077.98/x
  3. Step 3: Cross multiply
    49,298.72x = 68,035.79 × 28,077.98
  4. Step 4: Simplify right side
    49,298.72x = 1,910,307,122.98
  5. Step 5: Solve for x
    x = 1,910,307,122.98/49,298.72
  6. Step 6: Final answer
    x = 38,749.63

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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.