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Finding the Fourth Proportional to 194,142.60, 291,213.90 and 115,216.20

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Solution

The fourth proportional to 194,142.60, 291,213.90 and 115,216.20 is: 172,824.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,142.60 : 291,213.90 = 115,216.20 : x
  2. Step 2: Convert to fraction form
    194,142.60/291,213.90 = 115,216.20/x
  3. Step 3: Cross multiply
    194,142.60x = 291,213.90 × 115,216.20
  4. Step 4: Simplify right side
    194,142.60x = 33,552,558,945.18
  5. Step 5: Solve for x
    x = 33,552,558,945.18/194,142.60
  6. Step 6: Final answer
    x = 172,824.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.