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Finding the Fourth Proportional to 64,836.36, 89,468.82 and 36,549

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Solution

The fourth proportional to 64,836.36, 89,468.82 and 36,549 is: 50,434.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,836.36 : 89,468.82 = 36,549 : x
  2. Step 2: Convert to fraction form
    64,836.36/89,468.82 = 36,549/x
  3. Step 3: Cross multiply
    64,836.36x = 89,468.82 × 36,549
  4. Step 4: Simplify right side
    64,836.36x = 3,269,995,902.18
  5. Step 5: Solve for x
    x = 3,269,995,902.18/64,836.36
  6. Step 6: Final answer
    x = 50,434.60

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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.