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Finding the Fourth Proportional to 228,586.89, 342,896.78 and 78,825.02

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Solution

The fourth proportional to 228,586.89, 342,896.78 and 78,825.02 is: 118,243.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,586.89 : 342,896.78 = 78,825.02 : x
  2. Step 2: Convert to fraction form
    228,586.89/342,896.78 = 78,825.02/x
  3. Step 3: Cross multiply
    228,586.89x = 342,896.78 × 78,825.02
  4. Step 4: Simplify right side
    228,586.89x = 27,028,846,473.82
  5. Step 5: Solve for x
    x = 27,028,846,473.82/228,586.89
  6. Step 6: Final answer
    x = 118,243.20

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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.