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Finding the Fourth Proportional to 193,644.72, 290,580.76 and 81,316.28

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Solution

The fourth proportional to 193,644.72, 290,580.76 and 81,316.28 is: 122,022.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,644.72 : 290,580.76 = 81,316.28 : x
  2. Step 2: Convert to fraction form
    193,644.72/290,580.76 = 81,316.28/x
  3. Step 3: Cross multiply
    193,644.72x = 290,580.76 × 81,316.28
  4. Step 4: Simplify right side
    193,644.72x = 23,628,946,442.77
  5. Step 5: Solve for x
    x = 23,628,946,442.77/193,644.72
  6. Step 6: Final answer
    x = 122,022.16

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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.