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Finding the Fourth Proportional to 203,218.60, 305,000.70 and 91,071.40

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Solution

The fourth proportional to 203,218.60, 305,000.70 and 91,071.40 is: 136,684.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,218.60 : 305,000.70 = 91,071.40 : x
  2. Step 2: Convert to fraction form
    203,218.60/305,000.70 = 91,071.40/x
  3. Step 3: Cross multiply
    203,218.60x = 305,000.70 × 91,071.40
  4. Step 4: Simplify right side
    203,218.60x = 27,776,840,749.98
  5. Step 5: Solve for x
    x = 27,776,840,749.98/203,218.60
  6. Step 6: Final answer
    x = 136,684.54

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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.