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Finding the Fourth Proportional to 64,796.16, 89,425.44 and 39,662.40

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Solution

The fourth proportional to 64,796.16, 89,425.44 and 39,662.40 is: 54,738.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,796.16 : 89,425.44 = 39,662.40 : x
  2. Step 2: Convert to fraction form
    64,796.16/89,425.44 = 39,662.40/x
  3. Step 3: Cross multiply
    64,796.16x = 89,425.44 × 39,662.40
  4. Step 4: Simplify right side
    64,796.16x = 3,546,827,571.46
  5. Step 5: Solve for x
    x = 3,546,827,571.46/64,796.16
  6. Step 6: Final answer
    x = 54,738.24

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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.