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Finding the Fourth Proportional to 208,689.88, 312,998.46 and 96,360.52

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Solution

The fourth proportional to 208,689.88, 312,998.46 and 96,360.52 is: 144,523.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,689.88 : 312,998.46 = 96,360.52 : x
  2. Step 2: Convert to fraction form
    208,689.88/312,998.46 = 96,360.52/x
  3. Step 3: Cross multiply
    208,689.88x = 312,998.46 × 96,360.52
  4. Step 4: Simplify right side
    208,689.88x = 30,160,694,364.80
  5. Step 5: Solve for x
    x = 30,160,694,364.80/208,689.88
  6. Step 6: Final answer
    x = 144,523.99

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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.