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Finding the Fourth Proportional to 216,485.36, 298,729.80 and 120,978.80

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Solution

The fourth proportional to 216,485.36, 298,729.80 and 120,978.80 is: 166,939.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,485.36 : 298,729.80 = 120,978.80 : x
  2. Step 2: Convert to fraction form
    216,485.36/298,729.80 = 120,978.80/x
  3. Step 3: Cross multiply
    216,485.36x = 298,729.80 × 120,978.80
  4. Step 4: Simplify right side
    216,485.36x = 36,139,972,728.24
  5. Step 5: Solve for x
    x = 36,139,972,728.24/216,485.36
  6. Step 6: Final answer
    x = 166,939.57

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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.