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Finding the Fourth Proportional to 164,285.70, 226,738.86 and 100,660.39

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Solution

The fourth proportional to 164,285.70, 226,738.86 and 100,660.39 is: 138,926.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,285.70 : 226,738.86 = 100,660.39 : x
  2. Step 2: Convert to fraction form
    164,285.70/226,738.86 = 100,660.39/x
  3. Step 3: Cross multiply
    164,285.70x = 226,738.86 × 100,660.39
  4. Step 4: Simplify right side
    164,285.70x = 22,823,622,075.76
  5. Step 5: Solve for x
    x = 22,823,622,075.76/164,285.70
  6. Step 6: Final answer
    x = 138,926.41

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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.