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Finding the Fourth Proportional to 216,462.84, 298,719.83 and 120,971.13

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Solution

The fourth proportional to 216,462.84, 298,719.83 and 120,971.13 is: 166,940.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,462.84 : 298,719.83 = 120,971.13 : x
  2. Step 2: Convert to fraction form
    216,462.84/298,719.83 = 120,971.13/x
  3. Step 3: Cross multiply
    216,462.84x = 298,719.83 × 120,971.13
  4. Step 4: Simplify right side
    216,462.84x = 36,136,475,388.51
  5. Step 5: Solve for x
    x = 36,136,475,388.51/216,462.84
  6. Step 6: Final answer
    x = 166,940.78

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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.