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Finding the Fourth Proportional to 188,369.60, 259,952 and 102,329.44

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Solution

The fourth proportional to 188,369.60, 259,952 and 102,329.44 is: 141,215.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,369.60 : 259,952 = 102,329.44 : x
  2. Step 2: Convert to fraction form
    188,369.60/259,952 = 102,329.44/x
  3. Step 3: Cross multiply
    188,369.60x = 259,952 × 102,329.44
  4. Step 4: Simplify right side
    188,369.60x = 26,600,742,586.88
  5. Step 5: Solve for x
    x = 26,600,742,586.88/188,369.60
  6. Step 6: Final answer
    x = 141,215.69

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1.5x scale

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.