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Finding the Fourth Proportional to 193,898.78, 291,003.72 and 100,431.26

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Solution

The fourth proportional to 193,898.78, 291,003.72 and 100,431.26 is: 150,727.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,898.78 : 291,003.72 = 100,431.26 : x
  2. Step 2: Convert to fraction form
    193,898.78/291,003.72 = 100,431.26/x
  3. Step 3: Cross multiply
    193,898.78x = 291,003.72 × 100,431.26
  4. Step 4: Simplify right side
    193,898.78x = 29,225,870,264.29
  5. Step 5: Solve for x
    x = 29,225,870,264.29/193,898.78
  6. Step 6: Final answer
    x = 150,727.46

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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.