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Finding the Fourth Proportional to 49,533, 68,353.72 and 28,311

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Solution

The fourth proportional to 49,533, 68,353.72 and 28,311 is: 39,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,533 : 68,353.72 = 28,311 : x
  2. Step 2: Convert to fraction form
    49,533/68,353.72 = 28,311/x
  3. Step 3: Cross multiply
    49,533x = 68,353.72 × 28,311
  4. Step 4: Simplify right side
    49,533x = 1,935,162,166.92
  5. Step 5: Solve for x
    x = 1,935,162,166.92/49,533
  6. Step 6: Final answer
    x = 39,068.14

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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.