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Finding the Fourth Proportional to 164,486.28, 226,991.78 and 89,034.78

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Solution

The fourth proportional to 164,486.28, 226,991.78 and 89,034.78 is: 122,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,486.28 : 226,991.78 = 89,034.78 : x
  2. Step 2: Convert to fraction form
    164,486.28/226,991.78 = 89,034.78/x
  3. Step 3: Cross multiply
    164,486.28x = 226,991.78 × 89,034.78
  4. Step 4: Simplify right side
    164,486.28x = 20,210,162,748.93
  5. Step 5: Solve for x
    x = 20,210,162,748.93/164,486.28
  6. Step 6: Final answer
    x = 122,868.38

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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.