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Finding the Fourth Proportional to 208,635.75, 313,006.07 and 96,395.40

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Solution

The fourth proportional to 208,635.75, 313,006.07 and 96,395.40 is: 144,617.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,635.75 : 313,006.07 = 96,395.40 : x
  2. Step 2: Convert to fraction form
    208,635.75/313,006.07 = 96,395.40/x
  3. Step 3: Cross multiply
    208,635.75x = 313,006.07 × 96,395.40
  4. Step 4: Simplify right side
    208,635.75x = 30,172,345,561.07
  5. Step 5: Solve for x
    x = 30,172,345,561.07/208,635.75
  6. Step 6: Final answer
    x = 144,617.33

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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.