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Finding the Fourth Proportional to 65,004, 89,709.36 and 36,712.80

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Solution

The fourth proportional to 65,004, 89,709.36 and 36,712.80 is: 50,665.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,004 : 89,709.36 = 36,712.80 : x
  2. Step 2: Convert to fraction form
    65,004/89,709.36 = 36,712.80/x
  3. Step 3: Cross multiply
    65,004x = 89,709.36 × 36,712.80
  4. Step 4: Simplify right side
    65,004x = 3,293,481,791.81
  5. Step 5: Solve for x
    x = 3,293,481,791.81/65,004
  6. Step 6: Final answer
    x = 50,665.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.