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Finding the Fourth Proportional to 188,379.46, 259,962.63 and 102,337.76

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Solution

The fourth proportional to 188,379.46, 259,962.63 and 102,337.76 is: 141,225.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,379.46 : 259,962.63 = 102,337.76 : x
  2. Step 2: Convert to fraction form
    188,379.46/259,962.63 = 102,337.76/x
  3. Step 3: Cross multiply
    188,379.46x = 259,962.63 × 102,337.76
  4. Step 4: Simplify right side
    188,379.46x = 26,603,993,504.05
  5. Step 5: Solve for x
    x = 26,603,993,504.05/188,379.46
  6. Step 6: Final answer
    x = 141,225.55

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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.