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Finding the Fourth Proportional to 216,471.88, 298,729.38 and 120,977.48

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Solution

The fourth proportional to 216,471.88, 298,729.38 and 120,977.48 is: 166,947.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,471.88 : 298,729.38 = 120,977.48 : x
  2. Step 2: Convert to fraction form
    216,471.88/298,729.38 = 120,977.48/x
  3. Step 3: Cross multiply
    216,471.88x = 298,729.38 × 120,977.48
  4. Step 4: Simplify right side
    216,471.88x = 36,139,527,594.36
  5. Step 5: Solve for x
    x = 36,139,527,594.36/216,471.88
  6. Step 6: Final answer
    x = 166,947.91

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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.