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Finding the Fourth Proportional to 205,551.40, 308,283.90 and 87,226.60

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Solution

The fourth proportional to 205,551.40, 308,283.90 and 87,226.60 is: 130,821.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,551.40 : 308,283.90 = 87,226.60 : x
  2. Step 2: Convert to fraction form
    205,551.40/308,283.90 = 87,226.60/x
  3. Step 3: Cross multiply
    205,551.40x = 308,283.90 × 87,226.60
  4. Step 4: Simplify right side
    205,551.40x = 26,890,556,431.74
  5. Step 5: Solve for x
    x = 26,890,556,431.74/205,551.40
  6. Step 6: Final answer
    x = 130,821.57

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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.