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Finding the Fourth Proportional to 188,642.80, 282,788.32 and 129,506.32

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Solution

The fourth proportional to 188,642.80, 282,788.32 and 129,506.32 is: 194,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,642.80 : 282,788.32 = 129,506.32 : x
  2. Step 2: Convert to fraction form
    188,642.80/282,788.32 = 129,506.32/x
  3. Step 3: Cross multiply
    188,642.80x = 282,788.32 × 129,506.32
  4. Step 4: Simplify right side
    188,642.80x = 36,622,874,662.18
  5. Step 5: Solve for x
    x = 36,622,874,662.18/188,642.80
  6. Step 6: Final answer
    x = 194,138.74

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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.