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Finding the Fourth Proportional to 208,489.66, 312,734.50 and 83,801.50

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Solution

The fourth proportional to 208,489.66, 312,734.50 and 83,801.50 is: 125,702.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,489.66 : 312,734.50 = 83,801.50 : x
  2. Step 2: Convert to fraction form
    208,489.66/312,734.50 = 83,801.50/x
  3. Step 3: Cross multiply
    208,489.66x = 312,734.50 × 83,801.50
  4. Step 4: Simplify right side
    208,489.66x = 26,207,620,201.75
  5. Step 5: Solve for x
    x = 26,207,620,201.75/208,489.66
  6. Step 6: Final answer
    x = 125,702.25

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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.