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Finding the Fourth Proportional to 208,441.12, 312,676.20 and 83,782

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Solution

The fourth proportional to 208,441.12, 312,676.20 and 83,782 is: 125,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,441.12 : 312,676.20 = 83,782 : x
  2. Step 2: Convert to fraction form
    208,441.12/312,676.20 = 83,782/x
  3. Step 3: Cross multiply
    208,441.12x = 312,676.20 × 83,782
  4. Step 4: Simplify right side
    208,441.12x = 26,196,637,388.40
  5. Step 5: Solve for x
    x = 26,196,637,388.40/208,441.12
  6. Step 6: Final answer
    x = 125,678.84

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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.