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Finding the Fourth Proportional to 64,761.36, 89,364.57 and 36,078.11

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Solution

The fourth proportional to 64,761.36, 89,364.57 and 36,078.11 is: 49,784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761.36 : 89,364.57 = 36,078.11 : x
  2. Step 2: Convert to fraction form
    64,761.36/89,364.57 = 36,078.11/x
  3. Step 3: Cross multiply
    64,761.36x = 89,364.57 × 36,078.11
  4. Step 4: Simplify right side
    64,761.36x = 3,224,104,539.56
  5. Step 5: Solve for x
    x = 3,224,104,539.56/64,761.36
  6. Step 6: Final answer
    x = 49,784.39

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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.