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Finding the Fourth Proportional to 118,100, 162,978 and 75,658.54

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Solution

The fourth proportional to 118,100, 162,978 and 75,658.54 is: 104,408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,100 : 162,978 = 75,658.54 : x
  2. Step 2: Convert to fraction form
    118,100/162,978 = 75,658.54/x
  3. Step 3: Cross multiply
    118,100x = 162,978 × 75,658.54
  4. Step 4: Simplify right side
    118,100x = 12,330,677,532.12
  5. Step 5: Solve for x
    x = 12,330,677,532.12/118,100
  6. Step 6: Final answer
    x = 104,408.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.