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Finding the Fourth Proportional to 270,157.01, 405,235.51 and 103,906.13

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Solution

The fourth proportional to 270,157.01, 405,235.51 and 103,906.13 is: 155,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,157.01 : 405,235.51 = 103,906.13 : x
  2. Step 2: Convert to fraction form
    270,157.01/405,235.51 = 103,906.13/x
  3. Step 3: Cross multiply
    270,157.01x = 405,235.51 × 103,906.13
  4. Step 4: Simplify right side
    270,157.01x = 42,106,451,296.73
  5. Step 5: Solve for x
    x = 42,106,451,296.73/270,157.01
  6. Step 6: Final answer
    x = 155,859.19

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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.