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Finding the Fourth Proportional to 64,813, 89,441.94 and 35,005

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Solution

The fourth proportional to 64,813, 89,441.94 and 35,005 is: 48,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,813 : 89,441.94 = 35,005 : x
  2. Step 2: Convert to fraction form
    64,813/89,441.94 = 35,005/x
  3. Step 3: Cross multiply
    64,813x = 89,441.94 × 35,005
  4. Step 4: Simplify right side
    64,813x = 3,130,915,109.70
  5. Step 5: Solve for x
    x = 3,130,915,109.70/64,813
  6. Step 6: Final answer
    x = 48,306.90

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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.