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Finding the Fourth Proportional to 205,142.44, 307,503.42 and 78,748.60

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Solution

The fourth proportional to 205,142.44, 307,503.42 and 78,748.60 is: 118,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,142.44 : 307,503.42 = 78,748.60 : x
  2. Step 2: Convert to fraction form
    205,142.44/307,503.42 = 78,748.60/x
  3. Step 3: Cross multiply
    205,142.44x = 307,503.42 × 78,748.60
  4. Step 4: Simplify right side
    205,142.44x = 24,215,463,820.21
  5. Step 5: Solve for x
    x = 24,215,463,820.21/205,142.44
  6. Step 6: Final answer
    x = 118,042.19

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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.