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Finding the Fourth Proportional to 257,201.51, 385,802.30 and 107,360.06

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Solution

The fourth proportional to 257,201.51, 385,802.30 and 107,360.06 is: 161,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,201.51 : 385,802.30 = 107,360.06 : x
  2. Step 2: Convert to fraction form
    257,201.51/385,802.30 = 107,360.06/x
  3. Step 3: Cross multiply
    257,201.51x = 385,802.30 × 107,360.06
  4. Step 4: Simplify right side
    257,201.51x = 41,419,755,610.33
  5. Step 5: Solve for x
    x = 41,419,755,610.33/257,201.51
  6. Step 6: Final answer
    x = 161,040.10

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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.