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Finding the Fourth Proportional to 208,856.16, 313,282.80 and 51,086.88

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Solution

The fourth proportional to 208,856.16, 313,282.80 and 51,086.88 is: 76,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,856.16 : 313,282.80 = 51,086.88 : x
  2. Step 2: Convert to fraction form
    208,856.16/313,282.80 = 51,086.88/x
  3. Step 3: Cross multiply
    208,856.16x = 313,282.80 × 51,086.88
  4. Step 4: Simplify right side
    208,856.16x = 16,004,640,809.66
  5. Step 5: Solve for x
    x = 16,004,640,809.66/208,856.16
  6. Step 6: Final answer
    x = 76,629.97

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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.