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Finding the Fourth Proportional to 122,978.70, 184,435.65 and 38,738.70

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Solution

The fourth proportional to 122,978.70, 184,435.65 and 38,738.70 is: 58,097.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,978.70 : 184,435.65 = 38,738.70 : x
  2. Step 2: Convert to fraction form
    122,978.70/184,435.65 = 38,738.70/x
  3. Step 3: Cross multiply
    122,978.70x = 184,435.65 × 38,738.70
  4. Step 4: Simplify right side
    122,978.70x = 7,144,797,314.66
  5. Step 5: Solve for x
    x = 7,144,797,314.66/122,978.70
  6. Step 6: Final answer
    x = 58,097.84

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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.