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Finding the Fourth Proportional to 216,205.84, 298,361.16 and 120,714

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Solution

The fourth proportional to 216,205.84, 298,361.16 and 120,714 is: 166,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,205.84 : 298,361.16 = 120,714 : x
  2. Step 2: Convert to fraction form
    216,205.84/298,361.16 = 120,714/x
  3. Step 3: Cross multiply
    216,205.84x = 298,361.16 × 120,714
  4. Step 4: Simplify right side
    216,205.84x = 36,016,369,068.24
  5. Step 5: Solve for x
    x = 36,016,369,068.24/216,205.84
  6. Step 6: Final answer
    x = 166,583.70

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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.