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Finding the Fourth Proportional to 164,718, 227,311.03 and 89,266.50

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Solution

The fourth proportional to 164,718, 227,311.03 and 89,266.50 is: 123,187.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,718 : 227,311.03 = 89,266.50 : x
  2. Step 2: Convert to fraction form
    164,718/227,311.03 = 89,266.50/x
  3. Step 3: Cross multiply
    164,718x = 227,311.03 × 89,266.50
  4. Step 4: Simplify right side
    164,718x = 20,291,260,059.50
  5. Step 5: Solve for x
    x = 20,291,260,059.50/164,718
  6. Step 6: Final answer
    x = 123,187.87

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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.