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Finding the Fourth Proportional to 188,090.94, 259,564.78 and 103,209.42

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Solution

The fourth proportional to 188,090.94, 259,564.78 and 103,209.42 is: 142,428.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,090.94 : 259,564.78 = 103,209.42 : x
  2. Step 2: Convert to fraction form
    188,090.94/259,564.78 = 103,209.42/x
  3. Step 3: Cross multiply
    188,090.94x = 259,564.78 × 103,209.42
  4. Step 4: Simplify right side
    188,090.94x = 26,789,528,840.38
  5. Step 5: Solve for x
    x = 26,789,528,840.38/188,090.94
  6. Step 6: Final answer
    x = 142,428.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.