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Finding the Fourth Proportional to 257,201.88, 385,802.86 and 107,360.43

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Solution

The fourth proportional to 257,201.88, 385,802.86 and 107,360.43 is: 161,040.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,201.88 : 385,802.86 = 107,360.43 : x
  2. Step 2: Convert to fraction form
    257,201.88/385,802.86 = 107,360.43/x
  3. Step 3: Cross multiply
    257,201.88x = 385,802.86 × 107,360.43
  4. Step 4: Simplify right side
    257,201.88x = 41,419,960,944.83
  5. Step 5: Solve for x
    x = 41,419,960,944.83/257,201.88
  6. Step 6: Final answer
    x = 161,040.66

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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.