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Finding the Fourth Proportional to 188,764.82, 283,146.94 and 129,420.58

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Solution

The fourth proportional to 188,764.82, 283,146.94 and 129,420.58 is: 194,130.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,764.82 : 283,146.94 = 129,420.58 : x
  2. Step 2: Convert to fraction form
    188,764.82/283,146.94 = 129,420.58/x
  3. Step 3: Cross multiply
    188,764.82x = 283,146.94 × 129,420.58
  4. Step 4: Simplify right side
    188,764.82x = 36,645,041,200.03
  5. Step 5: Solve for x
    x = 36,645,041,200.03/188,764.82
  6. Step 6: Final answer
    x = 194,130.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.