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Finding the Fourth Proportional to 64,729.84, 89,309.70 and 37,879

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Solution

The fourth proportional to 64,729.84, 89,309.70 and 37,879 is: 52,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729.84 : 89,309.70 = 37,879 : x
  2. Step 2: Convert to fraction form
    64,729.84/89,309.70 = 37,879/x
  3. Step 3: Cross multiply
    64,729.84x = 89,309.70 × 37,879
  4. Step 4: Simplify right side
    64,729.84x = 3,382,962,126.30
  5. Step 5: Solve for x
    x = 3,382,962,126.30/64,729.84
  6. Step 6: Final answer
    x = 52,262.79

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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.