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Finding the Fourth Proportional to 214,487.10, 295,978.86 and 118,991.88

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Solution

The fourth proportional to 214,487.10, 295,978.86 and 118,991.88 is: 164,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,487.10 : 295,978.86 = 118,991.88 : x
  2. Step 2: Convert to fraction form
    214,487.10/295,978.86 = 118,991.88/x
  3. Step 3: Cross multiply
    214,487.10x = 295,978.86 × 118,991.88
  4. Step 4: Simplify right side
    214,487.10x = 35,219,080,991.66
  5. Step 5: Solve for x
    x = 35,219,080,991.66/214,487.10
  6. Step 6: Final answer
    x = 164,201.39

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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.