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Finding the Fourth Proportional to 122,978.20, 184,553.70 and 52,907.80

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Solution

The fourth proportional to 122,978.20, 184,553.70 and 52,907.80 is: 79,398.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.20 : 184,553.70 = 52,907.80 : x
  2. Step 2: Convert to fraction form
    122,978.20/184,553.70 = 52,907.80/x
  3. Step 3: Cross multiply
    122,978.20x = 184,553.70 × 52,907.80
  4. Step 4: Simplify right side
    122,978.20x = 9,764,330,248.86
  5. Step 5: Solve for x
    x = 9,764,330,248.86/122,978.20
  6. Step 6: Final answer
    x = 79,398.87

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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.