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Finding the Fourth Proportional to 211,292.56, 291,591.69 and 120,649.31

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Solution

The fourth proportional to 211,292.56, 291,591.69 and 120,649.31 is: 166,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,292.56 : 291,591.69 = 120,649.31 : x
  2. Step 2: Convert to fraction form
    211,292.56/291,591.69 = 120,649.31/x
  3. Step 3: Cross multiply
    211,292.56x = 291,591.69 × 120,649.31
  4. Step 4: Simplify right side
    211,292.56x = 35,180,335,383.31
  5. Step 5: Solve for x
    x = 35,180,335,383.31/211,292.56
  6. Step 6: Final answer
    x = 166,500.59

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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.