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Finding the Fourth Proportional to 164,729.76, 227,320.96 and 89,276.64

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Solution

The fourth proportional to 164,729.76, 227,320.96 and 89,276.64 is: 123,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,729.76 : 227,320.96 = 89,276.64 : x
  2. Step 2: Convert to fraction form
    164,729.76/227,320.96 = 89,276.64/x
  3. Step 3: Cross multiply
    164,729.76x = 227,320.96 × 89,276.64
  4. Step 4: Simplify right side
    164,729.76x = 20,294,451,510.37
  5. Step 5: Solve for x
    x = 20,294,451,510.37/164,729.76
  6. Step 6: Final answer
    x = 123,198.45

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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.