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Finding the Fourth Proportional to 203,506.15, 305,186.32 and 103,633.15

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Solution

The fourth proportional to 203,506.15, 305,186.32 and 103,633.15 is: 155,412.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,506.15 : 305,186.32 = 103,633.15 : x
  2. Step 2: Convert to fraction form
    203,506.15/305,186.32 = 103,633.15/x
  3. Step 3: Cross multiply
    203,506.15x = 305,186.32 × 103,633.15
  4. Step 4: Simplify right side
    203,506.15x = 31,627,419,678.51
  5. Step 5: Solve for x
    x = 31,627,419,678.51/203,506.15
  6. Step 6: Final answer
    x = 155,412.60

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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.