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Finding the Fourth Proportional to 254,174.98, 380,996.43 and 85,637.07

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Solution

The fourth proportional to 254,174.98, 380,996.43 and 85,637.07 is: 128,365.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,174.98 : 380,996.43 = 85,637.07 : x
  2. Step 2: Convert to fraction form
    254,174.98/380,996.43 = 85,637.07/x
  3. Step 3: Cross multiply
    254,174.98x = 380,996.43 × 85,637.07
  4. Step 4: Simplify right side
    254,174.98x = 32,627,417,945.66
  5. Step 5: Solve for x
    x = 32,627,417,945.66/254,174.98
  6. Step 6: Final answer
    x = 128,365.97

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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.