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Finding the Fourth Proportional to 164,908, 227,573.16 and 89,456.80

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Solution

The fourth proportional to 164,908, 227,573.16 and 89,456.80 is: 123,450.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,908 : 227,573.16 = 89,456.80 : x
  2. Step 2: Convert to fraction form
    164,908/227,573.16 = 89,456.80/x
  3. Step 3: Cross multiply
    164,908x = 227,573.16 × 89,456.80
  4. Step 4: Simplify right side
    164,908x = 20,357,966,659.49
  5. Step 5: Solve for x
    x = 20,357,966,659.49/164,908
  6. Step 6: Final answer
    x = 123,450.45

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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.