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Finding the Fourth Proportional to 251,740.44, 347,404.14 and 138,564

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Solution

The fourth proportional to 251,740.44, 347,404.14 and 138,564 is: 191,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,740.44 : 347,404.14 = 138,564 : x
  2. Step 2: Convert to fraction form
    251,740.44/347,404.14 = 138,564/x
  3. Step 3: Cross multiply
    251,740.44x = 347,404.14 × 138,564
  4. Step 4: Simplify right side
    251,740.44x = 48,137,707,254.96
  5. Step 5: Solve for x
    x = 48,137,707,254.96/251,740.44
  6. Step 6: Final answer
    x = 191,219.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.