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Finding the Fourth Proportional to 208,568.28, 312,945.45 and 96,188.17

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Solution

The fourth proportional to 208,568.28, 312,945.45 and 96,188.17 is: 144,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,568.28 : 312,945.45 = 96,188.17 : x
  2. Step 2: Convert to fraction form
    208,568.28/312,945.45 = 96,188.17/x
  3. Step 3: Cross multiply
    208,568.28x = 312,945.45 × 96,188.17
  4. Step 4: Simplify right side
    208,568.28x = 30,101,650,145.33
  5. Step 5: Solve for x
    x = 30,101,650,145.33/208,568.28
  6. Step 6: Final answer
    x = 144,325.16

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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.