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Finding the Fourth Proportional to 64,529.60, 89,072.64 and 40,696

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Solution

The fourth proportional to 64,529.60, 89,072.64 and 40,696 is: 56,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,529.60 : 89,072.64 = 40,696 : x
  2. Step 2: Convert to fraction form
    64,529.60/89,072.64 = 40,696/x
  3. Step 3: Cross multiply
    64,529.60x = 89,072.64 × 40,696
  4. Step 4: Simplify right side
    64,529.60x = 3,624,900,157.44
  5. Step 5: Solve for x
    x = 3,624,900,157.44/64,529.60
  6. Step 6: Final answer
    x = 56,174.22

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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.