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Finding the Fourth Proportional to 193,643.72, 290,579.26 and 81,315.28

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Solution

The fourth proportional to 193,643.72, 290,579.26 and 81,315.28 is: 122,020.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,643.72 : 290,579.26 = 81,315.28 : x
  2. Step 2: Convert to fraction form
    193,643.72/290,579.26 = 81,315.28/x
  3. Step 3: Cross multiply
    193,643.72x = 290,579.26 × 81,315.28
  4. Step 4: Simplify right side
    193,643.72x = 23,628,533,889.09
  5. Step 5: Solve for x
    x = 23,628,533,889.09/193,643.72
  6. Step 6: Final answer
    x = 122,020.66

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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.