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Finding the Fourth Proportional to 78,760, 118,174.80 and 41,311.12

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Solution

The fourth proportional to 78,760, 118,174.80 and 41,311.12 is: 61,984.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,760 : 118,174.80 = 41,311.12 : x
  2. Step 2: Convert to fraction form
    78,760/118,174.80 = 41,311.12/x
  3. Step 3: Cross multiply
    78,760x = 118,174.80 × 41,311.12
  4. Step 4: Simplify right side
    78,760x = 4,881,933,343.78
  5. Step 5: Solve for x
    x = 4,881,933,343.78/78,760
  6. Step 6: Final answer
    x = 61,984.93

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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.