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Finding the Fourth Proportional to 203,333.64, 305,041.26 and 70,218.78

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Solution

The fourth proportional to 203,333.64, 305,041.26 and 70,218.78 is: 105,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,333.64 : 305,041.26 = 70,218.78 : x
  2. Step 2: Convert to fraction form
    203,333.64/305,041.26 = 70,218.78/x
  3. Step 3: Cross multiply
    203,333.64x = 305,041.26 × 70,218.78
  4. Step 4: Simplify right side
    203,333.64x = 21,419,625,126.86
  5. Step 5: Solve for x
    x = 21,419,625,126.86/203,333.64
  6. Step 6: Final answer
    x = 105,342.26

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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.