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Finding the Fourth Proportional to 203,499.96, 305,077.59 and 77,070.48

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Solution

The fourth proportional to 203,499.96, 305,077.59 and 77,070.48 is: 115,540.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,499.96 : 305,077.59 = 77,070.48 : x
  2. Step 2: Convert to fraction form
    203,499.96/305,077.59 = 77,070.48/x
  3. Step 3: Cross multiply
    203,499.96x = 305,077.59 × 77,070.48
  4. Step 4: Simplify right side
    203,499.96x = 23,512,476,298.54
  5. Step 5: Solve for x
    x = 23,512,476,298.54/203,499.96
  6. Step 6: Final answer
    x = 115,540.45

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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.