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Finding the Fourth Proportional to 64,891, 89,549.60 and 35,083

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Solution

The fourth proportional to 64,891, 89,549.60 and 35,083 is: 48,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,891 : 89,549.60 = 35,083 : x
  2. Step 2: Convert to fraction form
    64,891/89,549.60 = 35,083/x
  3. Step 3: Cross multiply
    64,891x = 89,549.60 × 35,083
  4. Step 4: Simplify right side
    64,891x = 3,141,668,616.80
  5. Step 5: Solve for x
    x = 3,141,668,616.80/64,891
  6. Step 6: Final answer
    x = 48,414.55

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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.