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Finding the Fourth Proportional to 64,839.42, 89,376.14 and 48,683.42

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Solution

The fourth proportional to 64,839.42, 89,376.14 and 48,683.42 is: 67,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,839.42 : 89,376.14 = 48,683.42 : x
  2. Step 2: Convert to fraction form
    64,839.42/89,376.14 = 48,683.42/x
  3. Step 3: Cross multiply
    64,839.42x = 89,376.14 × 48,683.42
  4. Step 4: Simplify right side
    64,839.42x = 4,351,135,943.21
  5. Step 5: Solve for x
    x = 4,351,135,943.21/64,839.42
  6. Step 6: Final answer
    x = 67,106.33

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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.