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Finding the Fourth Proportional to 208,612.31, 312,780.20 and 75,475.25

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Solution

The fourth proportional to 208,612.31, 312,780.20 and 75,475.25 is: 113,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,612.31 : 312,780.20 = 75,475.25 : x
  2. Step 2: Convert to fraction form
    208,612.31/312,780.20 = 75,475.25/x
  3. Step 3: Cross multiply
    208,612.31x = 312,780.20 × 75,475.25
  4. Step 4: Simplify right side
    208,612.31x = 23,607,162,226.15
  5. Step 5: Solve for x
    x = 23,607,162,226.15/208,612.31
  6. Step 6: Final answer
    x = 113,162.84

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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.