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Finding the Fourth Proportional to 102,257.78, 153,456.74 and 35,697.92

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Solution

The fourth proportional to 102,257.78, 153,456.74 and 35,697.92 is: 53,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,257.78 : 153,456.74 = 35,697.92 : x
  2. Step 2: Convert to fraction form
    102,257.78/153,456.74 = 35,697.92/x
  3. Step 3: Cross multiply
    102,257.78x = 153,456.74 × 35,697.92
  4. Step 4: Simplify right side
    102,257.78x = 5,478,086,427.98
  5. Step 5: Solve for x
    x = 5,478,086,427.98/102,257.78
  6. Step 6: Final answer
    x = 53,571.34

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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.