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Finding the Fourth Proportional to 203,587.16, 305,331.53 and 85,347

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Solution

The fourth proportional to 203,587.16, 305,331.53 and 85,347 is: 127,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,587.16 : 305,331.53 = 85,347 : x
  2. Step 2: Convert to fraction form
    203,587.16/305,331.53 = 85,347/x
  3. Step 3: Cross multiply
    203,587.16x = 305,331.53 × 85,347
  4. Step 4: Simplify right side
    203,587.16x = 26,059,129,664.18
  5. Step 5: Solve for x
    x = 26,059,129,664.18/203,587.16
  6. Step 6: Final answer
    x = 127,999.87

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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.