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Finding the Fourth Proportional to 203,259.51, 305,076.42 and 103,491

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Solution

The fourth proportional to 203,259.51, 305,076.42 and 103,491 is: 155,331.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,259.51 : 305,076.42 = 103,491 : x
  2. Step 2: Convert to fraction form
    203,259.51/305,076.42 = 103,491/x
  3. Step 3: Cross multiply
    203,259.51x = 305,076.42 × 103,491
  4. Step 4: Simplify right side
    203,259.51x = 31,572,663,782.22
  5. Step 5: Solve for x
    x = 31,572,663,782.22/203,259.51
  6. Step 6: Final answer
    x = 155,331.79

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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.