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Finding the Fourth Proportional to 64,727.58, 89,322 and 36,047.28

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Solution

The fourth proportional to 64,727.58, 89,322 and 36,047.28 is: 49,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,727.58 : 89,322 = 36,047.28 : x
  2. Step 2: Convert to fraction form
    64,727.58/89,322 = 36,047.28/x
  3. Step 3: Cross multiply
    64,727.58x = 89,322 × 36,047.28
  4. Step 4: Simplify right side
    64,727.58x = 3,219,815,144.16
  5. Step 5: Solve for x
    x = 3,219,815,144.16/64,727.58
  6. Step 6: Final answer
    x = 49,744.10

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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.