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Finding the Fourth Proportional to 71,784.81, 107,699.28 and 36,749.07

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Solution

The fourth proportional to 71,784.81, 107,699.28 and 36,749.07 is: 55,134.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,784.81 : 107,699.28 = 36,749.07 : x
  2. Step 2: Convert to fraction form
    71,784.81/107,699.28 = 36,749.07/x
  3. Step 3: Cross multiply
    71,784.81x = 107,699.28 × 36,749.07
  4. Step 4: Simplify right side
    71,784.81x = 3,957,848,379.67
  5. Step 5: Solve for x
    x = 3,957,848,379.67/71,784.81
  6. Step 6: Final answer
    x = 55,134.90

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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.