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Finding the Fourth Proportional to 203,643.80, 305,575.05 and 85,327.10

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Solution

The fourth proportional to 203,643.80, 305,575.05 and 85,327.10 is: 128,036.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,643.80 : 305,575.05 = 85,327.10 : x
  2. Step 2: Convert to fraction form
    203,643.80/305,575.05 = 85,327.10/x
  3. Step 3: Cross multiply
    203,643.80x = 305,575.05 × 85,327.10
  4. Step 4: Simplify right side
    203,643.80x = 26,073,832,848.86
  5. Step 5: Solve for x
    x = 26,073,832,848.86/203,643.80
  6. Step 6: Final answer
    x = 128,036.47

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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.