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Finding the Fourth Proportional to 103,407.60, 155,138.40 and 33,288.60

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Solution

The fourth proportional to 103,407.60, 155,138.40 and 33,288.60 is: 49,941.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.60 : 155,138.40 = 33,288.60 : x
  2. Step 2: Convert to fraction form
    103,407.60/155,138.40 = 33,288.60/x
  3. Step 3: Cross multiply
    103,407.60x = 155,138.40 × 33,288.60
  4. Step 4: Simplify right side
    103,407.60x = 5,164,340,142.24
  5. Step 5: Solve for x
    x = 5,164,340,142.24/103,407.60
  6. Step 6: Final answer
    x = 49,941.59

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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.