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Finding the Fourth Proportional to 208,120.68, 312,164.88 and 58,353

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Solution

The fourth proportional to 208,120.68, 312,164.88 and 58,353 is: 87,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,120.68 : 312,164.88 = 58,353 : x
  2. Step 2: Convert to fraction form
    208,120.68/312,164.88 = 58,353/x
  3. Step 3: Cross multiply
    208,120.68x = 312,164.88 × 58,353
  4. Step 4: Simplify right side
    208,120.68x = 18,215,757,242.64
  5. Step 5: Solve for x
    x = 18,215,757,242.64/208,120.68
  6. Step 6: Final answer
    x = 87,524.97

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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.