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Finding the Fourth Proportional to 256,761, 385,047.05 and 88,233.48

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Solution

The fourth proportional to 256,761, 385,047.05 and 88,233.48 is: 132,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,761 : 385,047.05 = 88,233.48 : x
  2. Step 2: Convert to fraction form
    256,761/385,047.05 = 88,233.48/x
  3. Step 3: Cross multiply
    256,761x = 385,047.05 × 88,233.48
  4. Step 4: Simplify right side
    256,761x = 33,974,040,744.07
  5. Step 5: Solve for x
    x = 33,974,040,744.07/256,761
  6. Step 6: Final answer
    x = 132,317.76

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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.