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Finding the Fourth Proportional to 216,451.80, 298,702.62 and 120,958.47

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Solution

The fourth proportional to 216,451.80, 298,702.62 and 120,958.47 is: 166,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,451.80 : 298,702.62 = 120,958.47 : x
  2. Step 2: Convert to fraction form
    216,451.80/298,702.62 = 120,958.47/x
  3. Step 3: Cross multiply
    216,451.80x = 298,702.62 × 120,958.47
  4. Step 4: Simplify right side
    216,451.80x = 36,130,611,900.19
  5. Step 5: Solve for x
    x = 36,130,611,900.19/216,451.80
  6. Step 6: Final answer
    x = 166,922.21

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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.