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Finding the Fourth Proportional to 64,819, 89,450.28 and 35,011

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Solution

The fourth proportional to 64,819, 89,450.28 and 35,011 is: 48,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,819 : 89,450.28 = 35,011 : x
  2. Step 2: Convert to fraction form
    64,819/89,450.28 = 35,011/x
  3. Step 3: Cross multiply
    64,819x = 89,450.28 × 35,011
  4. Step 4: Simplify right side
    64,819x = 3,131,743,753.08
  5. Step 5: Solve for x
    x = 3,131,743,753.08/64,819
  6. Step 6: Final answer
    x = 48,315.21

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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.