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Finding the Fourth Proportional to 85,848, 128,728.26 and 35,914.56

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Solution

The fourth proportional to 85,848, 128,728.26 and 35,914.56 is: 53,853.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,848 : 128,728.26 = 35,914.56 : x
  2. Step 2: Convert to fraction form
    85,848/128,728.26 = 35,914.56/x
  3. Step 3: Cross multiply
    85,848x = 128,728.26 × 35,914.56
  4. Step 4: Simplify right side
    85,848x = 4,623,218,817.47
  5. Step 5: Solve for x
    x = 4,623,218,817.47/85,848
  6. Step 6: Final answer
    x = 53,853.54

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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.