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Finding the Fourth Proportional to 208,923.25, 313,509.40 and 75,813.90

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Solution

The fourth proportional to 208,923.25, 313,509.40 and 75,813.90 is: 113,766.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,923.25 : 313,509.40 = 75,813.90 : x
  2. Step 2: Convert to fraction form
    208,923.25/313,509.40 = 75,813.90/x
  3. Step 3: Cross multiply
    208,923.25x = 313,509.40 × 75,813.90
  4. Step 4: Simplify right side
    208,923.25x = 23,768,370,300.66
  5. Step 5: Solve for x
    x = 23,768,370,300.66/208,923.25
  6. Step 6: Final answer
    x = 113,766.04

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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.