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Finding the Fourth Proportional to 214,380.08, 295,978.27 and 138,031.54

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Solution

The fourth proportional to 214,380.08, 295,978.27 and 138,031.54 is: 190,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,380.08 : 295,978.27 = 138,031.54 : x
  2. Step 2: Convert to fraction form
    214,380.08/295,978.27 = 138,031.54/x
  3. Step 3: Cross multiply
    214,380.08x = 295,978.27 × 138,031.54
  4. Step 4: Simplify right side
    214,380.08x = 40,854,336,414.64
  5. Step 5: Solve for x
    x = 40,854,336,414.64/214,380.08
  6. Step 6: Final answer
    x = 190,569.65

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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.