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Finding the Fourth Proportional to 214,627.32, 295,978.86 and 138,067.74

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Solution

The fourth proportional to 214,627.32, 295,978.86 and 138,067.74 is: 190,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,627.32 : 295,978.86 = 138,067.74 : x
  2. Step 2: Convert to fraction form
    214,627.32/295,978.86 = 138,067.74/x
  3. Step 3: Cross multiply
    214,627.32x = 295,978.86 × 138,067.74
  4. Step 4: Simplify right side
    214,627.32x = 40,865,132,287.98
  5. Step 5: Solve for x
    x = 40,865,132,287.98/214,627.32
  6. Step 6: Final answer
    x = 190,400.42

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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.