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Finding the Fourth Proportional to 64,705.92, 89,286.24 and 40,823.52

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Solution

The fourth proportional to 64,705.92, 89,286.24 and 40,823.52 is: 56,331.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705.92 : 89,286.24 = 40,823.52 : x
  2. Step 2: Convert to fraction form
    64,705.92/89,286.24 = 40,823.52/x
  3. Step 3: Cross multiply
    64,705.92x = 89,286.24 × 40,823.52
  4. Step 4: Simplify right side
    64,705.92x = 3,644,978,604.36
  5. Step 5: Solve for x
    x = 3,644,978,604.36/64,705.92
  6. Step 6: Final answer
    x = 56,331.45

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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.