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Finding the Fourth Proportional to 137,318, 205,978.24 and 54,212

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Solution

The fourth proportional to 137,318, 205,978.24 and 54,212 is: 81,318.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,318 : 205,978.24 = 54,212 : x
  2. Step 2: Convert to fraction form
    137,318/205,978.24 = 54,212/x
  3. Step 3: Cross multiply
    137,318x = 205,978.24 × 54,212
  4. Step 4: Simplify right side
    137,318x = 11,166,492,346.88
  5. Step 5: Solve for x
    x = 11,166,492,346.88/137,318
  6. Step 6: Final answer
    x = 81,318.49

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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.