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Finding the Fourth Proportional to 214,451.75, 295,978.76 and 118,989.20

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Solution

The fourth proportional to 214,451.75, 295,978.76 and 118,989.20 is: 164,224.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,451.75 : 295,978.76 = 118,989.20 : x
  2. Step 2: Convert to fraction form
    214,451.75/295,978.76 = 118,989.20/x
  3. Step 3: Cross multiply
    214,451.75x = 295,978.76 × 118,989.20
  4. Step 4: Simplify right side
    214,451.75x = 35,218,276,460.60
  5. Step 5: Solve for x
    x = 35,218,276,460.60/214,451.75
  6. Step 6: Final answer
    x = 164,224.71

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1.5x scale

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.