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Finding the Fourth Proportional to 205,696.40, 308,544.60 and 112,384.40

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Solution

The fourth proportional to 205,696.40, 308,544.60 and 112,384.40 is: 168,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,696.40 : 308,544.60 = 112,384.40 : x
  2. Step 2: Convert to fraction form
    205,696.40/308,544.60 = 112,384.40/x
  3. Step 3: Cross multiply
    205,696.40x = 308,544.60 × 112,384.40
  4. Step 4: Simplify right side
    205,696.40x = 34,675,599,744.24
  5. Step 5: Solve for x
    x = 34,675,599,744.24/205,696.40
  6. Step 6: Final answer
    x = 168,576.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.