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Finding the Fourth Proportional to 228,716.01, 315,644.72 and 138,094.02

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Solution

The fourth proportional to 228,716.01, 315,644.72 and 138,094.02 is: 190,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,716.01 : 315,644.72 = 138,094.02 : x
  2. Step 2: Convert to fraction form
    228,716.01/315,644.72 = 138,094.02/x
  3. Step 3: Cross multiply
    228,716.01x = 315,644.72 × 138,094.02
  4. Step 4: Simplify right side
    228,716.01x = 43,588,647,586.10
  5. Step 5: Solve for x
    x = 43,588,647,586.10/228,716.01
  6. Step 6: Final answer
    x = 190,579.78

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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.