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Finding the Fourth Proportional to 123,278.40, 170,121.60 and 72,993.60

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Solution

The fourth proportional to 123,278.40, 170,121.60 and 72,993.60 is: 100,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,278.40 : 170,121.60 = 72,993.60 : x
  2. Step 2: Convert to fraction form
    123,278.40/170,121.60 = 72,993.60/x
  3. Step 3: Cross multiply
    123,278.40x = 170,121.60 × 72,993.60
  4. Step 4: Simplify right side
    123,278.40x = 12,417,788,021.76
  5. Step 5: Solve for x
    x = 12,417,788,021.76/123,278.40
  6. Step 6: Final answer
    x = 100,729.63

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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.