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Finding the Fourth Proportional to 188,265.74, 259,808.52 and 103,384.58

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Solution

The fourth proportional to 188,265.74, 259,808.52 and 103,384.58 is: 142,671.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,265.74 : 259,808.52 = 103,384.58 : x
  2. Step 2: Convert to fraction form
    188,265.74/259,808.52 = 103,384.58/x
  3. Step 3: Cross multiply
    188,265.74x = 259,808.52 × 103,384.58
  4. Step 4: Simplify right side
    188,265.74x = 26,860,194,720.62
  5. Step 5: Solve for x
    x = 26,860,194,720.62/188,265.74
  6. Step 6: Final answer
    x = 142,671.71

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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.