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Finding the Fourth Proportional to 64,950, 89,631 and 35,142

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Solution

The fourth proportional to 64,950, 89,631 and 35,142 is: 48,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,950 : 89,631 = 35,142 : x
  2. Step 2: Convert to fraction form
    64,950/89,631 = 35,142/x
  3. Step 3: Cross multiply
    64,950x = 89,631 × 35,142
  4. Step 4: Simplify right side
    64,950x = 3,149,812,602
  5. Step 5: Solve for x
    x = 3,149,812,602/64,950
  6. Step 6: Final answer
    x = 48,495.96

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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.