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Finding the Fourth Proportional to 188,281.54, 259,830.21 and 103,399.21

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Solution

The fourth proportional to 188,281.54, 259,830.21 and 103,399.21 is: 142,691.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,281.54 : 259,830.21 = 103,399.21 : x
  2. Step 2: Convert to fraction form
    188,281.54/259,830.21 = 103,399.21/x
  3. Step 3: Cross multiply
    188,281.54x = 259,830.21 × 103,399.21
  4. Step 4: Simplify right side
    188,281.54x = 26,866,238,448.13
  5. Step 5: Solve for x
    x = 26,866,238,448.13/188,281.54
  6. Step 6: Final answer
    x = 142,691.84

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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.