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Finding the Fourth Proportional to 209,087.31, 313,583.68 and 96,705.86

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Solution

The fourth proportional to 209,087.31, 313,583.68 and 96,705.86 is: 145,036.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,087.31 : 313,583.68 = 96,705.86 : x
  2. Step 2: Convert to fraction form
    209,087.31/313,583.68 = 96,705.86/x
  3. Step 3: Cross multiply
    209,087.31x = 313,583.68 × 96,705.86
  4. Step 4: Simplify right side
    209,087.31x = 30,325,378,972.84
  5. Step 5: Solve for x
    x = 30,325,378,972.84/209,087.31
  6. Step 6: Final answer
    x = 145,036.92

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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.