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Finding the Fourth Proportional to 64,643.56, 89,200.86 and 36,348.64

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Solution

The fourth proportional to 64,643.56, 89,200.86 and 36,348.64 is: 50,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,643.56 : 89,200.86 = 36,348.64 : x
  2. Step 2: Convert to fraction form
    64,643.56/89,200.86 = 36,348.64/x
  3. Step 3: Cross multiply
    64,643.56x = 89,200.86 × 36,348.64
  4. Step 4: Simplify right side
    64,643.56x = 3,242,329,947.83
  5. Step 5: Solve for x
    x = 3,242,329,947.83/64,643.56
  6. Step 6: Final answer
    x = 50,157.04

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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.