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Finding the Fourth Proportional to 203,642.48, 305,507.88 and 85,252.88

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Solution

The fourth proportional to 203,642.48, 305,507.88 and 85,252.88 is: 127,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,642.48 : 305,507.88 = 85,252.88 : x
  2. Step 2: Convert to fraction form
    203,642.48/305,507.88 = 85,252.88/x
  3. Step 3: Cross multiply
    203,642.48x = 305,507.88 × 85,252.88
  4. Step 4: Simplify right side
    203,642.48x = 26,045,426,632.69
  5. Step 5: Solve for x
    x = 26,045,426,632.69/203,642.48
  6. Step 6: Final answer
    x = 127,897.81

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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.