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Finding the Fourth Proportional to 103,615, 155,448.60 and 29,743

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Solution

The fourth proportional to 103,615, 155,448.60 and 29,743 is: 44,621.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,615 : 155,448.60 = 29,743 : x
  2. Step 2: Convert to fraction form
    103,615/155,448.60 = 29,743/x
  3. Step 3: Cross multiply
    103,615x = 155,448.60 × 29,743
  4. Step 4: Simplify right side
    103,615x = 4,623,507,709.80
  5. Step 5: Solve for x
    x = 4,623,507,709.80/103,615
  6. Step 6: Final answer
    x = 44,621.99

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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.