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Finding the Fourth Proportional to 208,156.83, 312,249.15 and 73,204.71

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Solution

The fourth proportional to 208,156.83, 312,249.15 and 73,204.71 is: 109,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,156.83 : 312,249.15 = 73,204.71 : x
  2. Step 2: Convert to fraction form
    208,156.83/312,249.15 = 73,204.71/x
  3. Step 3: Cross multiply
    208,156.83x = 312,249.15 × 73,204.71
  4. Step 4: Simplify right side
    208,156.83x = 22,858,108,473.50
  5. Step 5: Solve for x
    x = 22,858,108,473.50/208,156.83
  6. Step 6: Final answer
    x = 109,811.96

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1.5x scale

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.