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Finding the Fourth Proportional to 188,420.40, 283,091.40 and 141,764.40

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Solution

The fourth proportional to 188,420.40, 283,091.40 and 141,764.40 is: 212,993.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,420.40 : 283,091.40 = 141,764.40 : x
  2. Step 2: Convert to fraction form
    188,420.40/283,091.40 = 141,764.40/x
  3. Step 3: Cross multiply
    188,420.40x = 283,091.40 × 141,764.40
  4. Step 4: Simplify right side
    188,420.40x = 40,132,282,466.16
  5. Step 5: Solve for x
    x = 40,132,282,466.16/188,420.40
  6. Step 6: Final answer
    x = 212,993.30

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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.