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Finding the Fourth Proportional to 78,762.42, 118,201.95 and 41,331.78

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Solution

The fourth proportional to 78,762.42, 118,201.95 and 41,331.78 is: 62,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,762.42 : 118,201.95 = 41,331.78 : x
  2. Step 2: Convert to fraction form
    78,762.42/118,201.95 = 41,331.78/x
  3. Step 3: Cross multiply
    78,762.42x = 118,201.95 × 41,331.78
  4. Step 4: Simplify right side
    78,762.42x = 4,885,496,992.97
  5. Step 5: Solve for x
    x = 4,885,496,992.97/78,762.42
  6. Step 6: Final answer
    x = 62,028.27

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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.