Home / 208,923.75-313,510.16-75,814.40

Finding the Fourth Proportional to 208,923.75, 313,510.16 and 75,814.40

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Solution

The fourth proportional to 208,923.75, 313,510.16 and 75,814.40 is: 113,766.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,923.75 : 313,510.16 = 75,814.40 : x
  2. Step 2: Convert to fraction form
    208,923.75/313,510.16 = 75,814.40/x
  3. Step 3: Cross multiply
    208,923.75x = 313,510.16 × 75,814.40
  4. Step 4: Simplify right side
    208,923.75x = 23,768,582,727.68
  5. Step 5: Solve for x
    x = 23,768,582,727.68/208,923.75
  6. Step 6: Final answer
    x = 113,766.78

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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.