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Finding the Fourth Proportional to 256,905.74, 385,093.74 and 107,233.13

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Solution

The fourth proportional to 256,905.74, 385,093.74 and 107,233.13 is: 160,739.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,905.74 : 385,093.74 = 107,233.13 : x
  2. Step 2: Convert to fraction form
    256,905.74/385,093.74 = 107,233.13/x
  3. Step 3: Cross multiply
    256,905.74x = 385,093.74 × 107,233.13
  4. Step 4: Simplify right side
    256,905.74x = 41,294,807,083.61
  5. Step 5: Solve for x
    x = 41,294,807,083.61/256,905.74
  6. Step 6: Final answer
    x = 160,739.14

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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.