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Finding the Fourth Proportional to 64,821, 89,453.04 and 35,013

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Solution

The fourth proportional to 64,821, 89,453.04 and 35,013 is: 48,317.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,821 : 89,453.04 = 35,013 : x
  2. Step 2: Convert to fraction form
    64,821/89,453.04 = 35,013/x
  3. Step 3: Cross multiply
    64,821x = 89,453.04 × 35,013
  4. Step 4: Simplify right side
    64,821x = 3,132,019,289.52
  5. Step 5: Solve for x
    x = 3,132,019,289.52/64,821
  6. Step 6: Final answer
    x = 48,317.97

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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.