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Finding the Fourth Proportional to 103,833.76, 155,756.40 and 28,954

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Solution

The fourth proportional to 103,833.76, 155,756.40 and 28,954 is: 43,432.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,833.76 : 155,756.40 = 28,954 : x
  2. Step 2: Convert to fraction form
    103,833.76/155,756.40 = 28,954/x
  3. Step 3: Cross multiply
    103,833.76x = 155,756.40 × 28,954
  4. Step 4: Simplify right side
    103,833.76x = 4,509,770,805.60
  5. Step 5: Solve for x
    x = 4,509,770,805.60/103,833.76
  6. Step 6: Final answer
    x = 43,432.61

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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.