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Finding the Fourth Proportional to 208,134.80, 312,216.15 and 73,182.71

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Solution

The fourth proportional to 208,134.80, 312,216.15 and 73,182.71 is: 109,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,134.80 : 312,216.15 = 73,182.71 : x
  2. Step 2: Convert to fraction form
    208,134.80/312,216.15 = 73,182.71/x
  3. Step 3: Cross multiply
    208,134.80x = 312,216.15 × 73,182.71
  4. Step 4: Simplify right side
    208,134.80x = 22,848,823,962.77
  5. Step 5: Solve for x
    x = 22,848,823,962.77/208,134.80
  6. Step 6: Final answer
    x = 109,778.97

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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.