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Finding the Fourth Proportional to 142,728.54, 214,092.81 and 49,227

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Solution

The fourth proportional to 142,728.54, 214,092.81 and 49,227 is: 73,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,728.54 : 214,092.81 = 49,227 : x
  2. Step 2: Convert to fraction form
    142,728.54/214,092.81 = 49,227/x
  3. Step 3: Cross multiply
    142,728.54x = 214,092.81 × 49,227
  4. Step 4: Simplify right side
    142,728.54x = 10,539,146,757.87
  5. Step 5: Solve for x
    x = 10,539,146,757.87/142,728.54
  6. Step 6: Final answer
    x = 73,840.50

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1.5x scale

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.