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Finding the Fourth Proportional to 103,693.60, 155,704.43 and 78,761.80

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Solution

The fourth proportional to 103,693.60, 155,704.43 and 78,761.80 is: 118,267.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,693.60 : 155,704.43 = 78,761.80 : x
  2. Step 2: Convert to fraction form
    103,693.60/155,704.43 = 78,761.80/x
  3. Step 3: Cross multiply
    103,693.60x = 155,704.43 × 78,761.80
  4. Step 4: Simplify right side
    103,693.60x = 12,263,561,174.77
  5. Step 5: Solve for x
    x = 12,263,561,174.77/103,693.60
  6. Step 6: Final answer
    x = 118,267.29

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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.