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Finding the Fourth Proportional to 164,907, 227,571.78 and 89,455.80

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Solution

The fourth proportional to 164,907, 227,571.78 and 89,455.80 is: 123,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,907 : 227,571.78 = 89,455.80 : x
  2. Step 2: Convert to fraction form
    164,907/227,571.78 = 89,455.80/x
  3. Step 3: Cross multiply
    164,907x = 227,571.78 × 89,455.80
  4. Step 4: Simplify right side
    164,907x = 20,357,615,637.32
  5. Step 5: Solve for x
    x = 20,357,615,637.32/164,907
  6. Step 6: Final answer
    x = 123,449.07

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1.5x scale

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.