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Finding the Fourth Proportional to 212,571.64, 293,342.86 and 115,773.30

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Solution

The fourth proportional to 212,571.64, 293,342.86 and 115,773.30 is: 159,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,571.64 : 293,342.86 = 115,773.30 : x
  2. Step 2: Convert to fraction form
    212,571.64/293,342.86 = 115,773.30/x
  3. Step 3: Cross multiply
    212,571.64x = 293,342.86 × 115,773.30
  4. Step 4: Simplify right side
    212,571.64x = 33,961,270,933.64
  5. Step 5: Solve for x
    x = 33,961,270,933.64/212,571.64
  6. Step 6: Final answer
    x = 159,763.88

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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.