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Finding the Fourth Proportional to 216,450.32, 298,695.87 and 120,957.80

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Solution

The fourth proportional to 216,450.32, 298,695.87 and 120,957.80 is: 166,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,450.32 : 298,695.87 = 120,957.80 : x
  2. Step 2: Convert to fraction form
    216,450.32/298,695.87 = 120,957.80/x
  3. Step 3: Cross multiply
    216,450.32x = 298,695.87 × 120,957.80
  4. Step 4: Simplify right side
    216,450.32x = 36,129,595,304.29
  5. Step 5: Solve for x
    x = 36,129,595,304.29/216,450.32
  6. Step 6: Final answer
    x = 166,918.65

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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.