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Finding the Fourth Proportional to 208,206.72, 311,947.20 and 124,917.12

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Solution

The fourth proportional to 208,206.72, 311,947.20 and 124,917.12 is: 187,157.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,206.72 : 311,947.20 = 124,917.12 : x
  2. Step 2: Convert to fraction form
    208,206.72/311,947.20 = 124,917.12/x
  3. Step 3: Cross multiply
    208,206.72x = 311,947.20 × 124,917.12
  4. Step 4: Simplify right side
    208,206.72x = 38,967,545,816.06
  5. Step 5: Solve for x
    x = 38,967,545,816.06/208,206.72
  6. Step 6: Final answer
    x = 187,157.96

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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.