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Finding the Fourth Proportional to 64,497.78, 89,002.06 and 36,198

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Solution

The fourth proportional to 64,497.78, 89,002.06 and 36,198 is: 49,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,497.78 : 89,002.06 = 36,198 : x
  2. Step 2: Convert to fraction form
    64,497.78/89,002.06 = 36,198/x
  3. Step 3: Cross multiply
    64,497.78x = 89,002.06 × 36,198
  4. Step 4: Simplify right side
    64,497.78x = 3,221,696,477.39
  5. Step 5: Solve for x
    x = 3,221,696,477.39/64,497.78
  6. Step 6: Final answer
    x = 49,950.50

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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.