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Finding the Fourth Proportional to 64,834, 89,468.68 and 36,538

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Solution

The fourth proportional to 64,834, 89,468.68 and 36,538 is: 50,421.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,834 : 89,468.68 = 36,538 : x
  2. Step 2: Convert to fraction form
    64,834/89,468.68 = 36,538/x
  3. Step 3: Cross multiply
    64,834x = 89,468.68 × 36,538
  4. Step 4: Simplify right side
    64,834x = 3,269,006,629.84
  5. Step 5: Solve for x
    x = 3,269,006,629.84/64,834
  6. Step 6: Final answer
    x = 50,421.18

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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.