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Finding the Fourth Proportional to 212,074.34, 318,103.20 and 71,832.96

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Solution

The fourth proportional to 212,074.34, 318,103.20 and 71,832.96 is: 107,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,074.34 : 318,103.20 = 71,832.96 : x
  2. Step 2: Convert to fraction form
    212,074.34/318,103.20 = 71,832.96/x
  3. Step 3: Cross multiply
    212,074.34x = 318,103.20 × 71,832.96
  4. Step 4: Simplify right side
    212,074.34x = 22,850,294,441.47
  5. Step 5: Solve for x
    x = 22,850,294,441.47/212,074.34
  6. Step 6: Final answer
    x = 107,746.63

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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.