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Finding the Fourth Proportional to 208,178.91, 312,311.57 and 83,529.63

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Solution

The fourth proportional to 208,178.91, 312,311.57 and 83,529.63 is: 125,311.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,178.91 : 312,311.57 = 83,529.63 : x
  2. Step 2: Convert to fraction form
    208,178.91/312,311.57 = 83,529.63/x
  3. Step 3: Cross multiply
    208,178.91x = 312,311.57 × 83,529.63
  4. Step 4: Simplify right side
    208,178.91x = 26,087,269,469.17
  5. Step 5: Solve for x
    x = 26,087,269,469.17/208,178.91
  6. Step 6: Final answer
    x = 125,311.78

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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.