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Finding the Fourth Proportional to 208,595.65, 312,905.58 and 80,512.64

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Solution

The fourth proportional to 208,595.65, 312,905.58 and 80,512.64 is: 120,773.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,595.65 : 312,905.58 = 80,512.64 : x
  2. Step 2: Convert to fraction form
    208,595.65/312,905.58 = 80,512.64/x
  3. Step 3: Cross multiply
    208,595.65x = 312,905.58 × 80,512.64
  4. Step 4: Simplify right side
    208,595.65x = 25,192,855,836.45
  5. Step 5: Solve for x
    x = 25,192,855,836.45/208,595.65
  6. Step 6: Final answer
    x = 120,773.64

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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.