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Finding the Fourth Proportional to 103,699.60, 155,713.43 and 78,767.80

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Solution

The fourth proportional to 103,699.60, 155,713.43 and 78,767.80 is: 118,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,699.60 : 155,713.43 = 78,767.80 : x
  2. Step 2: Convert to fraction form
    103,699.60/155,713.43 = 78,767.80/x
  3. Step 3: Cross multiply
    103,699.60x = 155,713.43 × 78,767.80
  4. Step 4: Simplify right side
    103,699.60x = 12,265,204,311.55
  5. Step 5: Solve for x
    x = 12,265,204,311.55/103,699.60
  6. Step 6: Final answer
    x = 118,276.29

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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.