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Finding the Fourth Proportional to 164,772, 227,385.84 and 89,320.80

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Solution

The fourth proportional to 164,772, 227,385.84 and 89,320.80 is: 123,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,772 : 227,385.84 = 89,320.80 : x
  2. Step 2: Convert to fraction form
    164,772/227,385.84 = 89,320.80/x
  3. Step 3: Cross multiply
    164,772x = 227,385.84 × 89,320.80
  4. Step 4: Simplify right side
    164,772x = 20,310,285,137.47
  5. Step 5: Solve for x
    x = 20,310,285,137.47/164,772
  6. Step 6: Final answer
    x = 123,262.96

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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.