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Finding the Fourth Proportional to 172,912.25, 238,815.74 and 116,225.21

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Solution

The fourth proportional to 172,912.25, 238,815.74 and 116,225.21 is: 160,523.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,912.25 : 238,815.74 = 116,225.21 : x
  2. Step 2: Convert to fraction form
    172,912.25/238,815.74 = 116,225.21/x
  3. Step 3: Cross multiply
    172,912.25x = 238,815.74 × 116,225.21
  4. Step 4: Simplify right side
    172,912.25x = 27,756,409,532.81
  5. Step 5: Solve for x
    x = 27,756,409,532.81/172,912.25
  6. Step 6: Final answer
    x = 160,523.09

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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.