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Finding the Fourth Proportional to 203,904.30, 305,965.80 and 85,587.60

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Solution

The fourth proportional to 203,904.30, 305,965.80 and 85,587.60 is: 128,427.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,904.30 : 305,965.80 = 85,587.60 : x
  2. Step 2: Convert to fraction form
    203,904.30/305,965.80 = 85,587.60/x
  3. Step 3: Cross multiply
    203,904.30x = 305,965.80 × 85,587.60
  4. Step 4: Simplify right side
    203,904.30x = 26,186,878,504.08
  5. Step 5: Solve for x
    x = 26,186,878,504.08/203,904.30
  6. Step 6: Final answer
    x = 128,427.30

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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.