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Finding the Fourth Proportional to 208,518.71, 312,778.10 and 50,747.16

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Solution

The fourth proportional to 208,518.71, 312,778.10 and 50,747.16 is: 76,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.71 : 312,778.10 = 50,747.16 : x
  2. Step 2: Convert to fraction form
    208,518.71/312,778.10 = 50,747.16/x
  3. Step 3: Cross multiply
    208,518.71x = 312,778.10 × 50,747.16
  4. Step 4: Simplify right side
    208,518.71x = 15,872,600,285.20
  5. Step 5: Solve for x
    x = 15,872,600,285.20/208,518.71
  6. Step 6: Final answer
    x = 76,120.75

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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.