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Finding the Fourth Proportional to 64,928.72, 89,662.26 and 47,782.64

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Solution

The fourth proportional to 64,928.72, 89,662.26 and 47,782.64 is: 65,984.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,928.72 : 89,662.26 = 47,782.64 : x
  2. Step 2: Convert to fraction form
    64,928.72/89,662.26 = 47,782.64/x
  3. Step 3: Cross multiply
    64,928.72x = 89,662.26 × 47,782.64
  4. Step 4: Simplify right side
    64,928.72x = 4,284,299,491.17
  5. Step 5: Solve for x
    x = 4,284,299,491.17/64,928.72
  6. Step 6: Final answer
    x = 65,984.66

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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.