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Finding the Fourth Proportional to 138,093.42, 207,144.72 and 38,254.62

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Solution

The fourth proportional to 138,093.42, 207,144.72 and 38,254.62 is: 57,383.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,093.42 : 207,144.72 = 38,254.62 : x
  2. Step 2: Convert to fraction form
    138,093.42/207,144.72 = 38,254.62/x
  3. Step 3: Cross multiply
    138,093.42x = 207,144.72 × 38,254.62
  4. Step 4: Simplify right side
    138,093.42x = 7,924,242,548.61
  5. Step 5: Solve for x
    x = 7,924,242,548.61/138,093.42
  6. Step 6: Final answer
    x = 57,383.20

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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.