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Finding the Fourth Proportional to 56,047.92, 84,068.64 and 20,533.20

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Solution

The fourth proportional to 56,047.92, 84,068.64 and 20,533.20 is: 30,798.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,047.92 : 84,068.64 = 20,533.20 : x
  2. Step 2: Convert to fraction form
    56,047.92/84,068.64 = 20,533.20/x
  3. Step 3: Cross multiply
    56,047.92x = 84,068.64 × 20,533.20
  4. Step 4: Simplify right side
    56,047.92x = 1,726,198,198.85
  5. Step 5: Solve for x
    x = 1,726,198,198.85/56,047.92
  6. Step 6: Final answer
    x = 30,798.61

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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.