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Finding the Fourth Proportional to 64,840.31, 89,477.84 and 36,160.84

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Solution

The fourth proportional to 64,840.31, 89,477.84 and 36,160.84 is: 49,900.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,840.31 : 89,477.84 = 36,160.84 : x
  2. Step 2: Convert to fraction form
    64,840.31/89,477.84 = 36,160.84/x
  3. Step 3: Cross multiply
    64,840.31x = 89,477.84 × 36,160.84
  4. Step 4: Simplify right side
    64,840.31x = 3,235,593,743.94
  5. Step 5: Solve for x
    x = 3,235,593,743.94/64,840.31
  6. Step 6: Final answer
    x = 49,900.96

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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.