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Finding the Fourth Proportional to 51,464.70, 77,200.65 and 21,879.18

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Solution

The fourth proportional to 51,464.70, 77,200.65 and 21,879.18 is: 32,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,464.70 : 77,200.65 = 21,879.18 : x
  2. Step 2: Convert to fraction form
    51,464.70/77,200.65 = 21,879.18/x
  3. Step 3: Cross multiply
    51,464.70x = 77,200.65 × 21,879.18
  4. Step 4: Simplify right side
    51,464.70x = 1,689,086,917.47
  5. Step 5: Solve for x
    x = 1,689,086,917.47/51,464.70
  6. Step 6: Final answer
    x = 32,820.30

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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.