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Finding the Fourth Proportional to 103,415.68, 155,124 and 41,086

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Solution

The fourth proportional to 103,415.68, 155,124 and 41,086 is: 61,629.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.68 : 155,124 = 41,086 : x
  2. Step 2: Convert to fraction form
    103,415.68/155,124 = 41,086/x
  3. Step 3: Cross multiply
    103,415.68x = 155,124 × 41,086
  4. Step 4: Simplify right side
    103,415.68x = 6,373,424,664
  5. Step 5: Solve for x
    x = 6,373,424,664/103,415.68
  6. Step 6: Final answer
    x = 61,629.19

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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.