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Finding the Fourth Proportional to 212,138.70, 318,186.18 and 71,893.68

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Solution

The fourth proportional to 212,138.70, 318,186.18 and 71,893.68 is: 107,833.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,138.70 : 318,186.18 = 71,893.68 : x
  2. Step 2: Convert to fraction form
    212,138.70/318,186.18 = 71,893.68/x
  3. Step 3: Cross multiply
    212,138.70x = 318,186.18 × 71,893.68
  4. Step 4: Simplify right side
    212,138.70x = 22,875,575,405.34
  5. Step 5: Solve for x
    x = 22,875,575,405.34/212,138.70
  6. Step 6: Final answer
    x = 107,833.11

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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.