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Finding the Fourth Proportional to 205,112.20, 307,449.60 and 78,703.60

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Solution

The fourth proportional to 205,112.20, 307,449.60 and 78,703.60 is: 117,971.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,112.20 : 307,449.60 = 78,703.60 : x
  2. Step 2: Convert to fraction form
    205,112.20/307,449.60 = 78,703.60/x
  3. Step 3: Cross multiply
    205,112.20x = 307,449.60 × 78,703.60
  4. Step 4: Simplify right side
    205,112.20x = 24,197,390,338.56
  5. Step 5: Solve for x
    x = 24,197,390,338.56/205,112.20
  6. Step 6: Final answer
    x = 117,971.48

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1.5x scale

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.