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Finding the Fourth Proportional to 208,171.12, 287,199.22 and 136,648.32

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Solution

The fourth proportional to 208,171.12, 287,199.22 and 136,648.32 is: 188,524.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,171.12 : 287,199.22 = 136,648.32 : x
  2. Step 2: Convert to fraction form
    208,171.12/287,199.22 = 136,648.32/x
  3. Step 3: Cross multiply
    208,171.12x = 287,199.22 × 136,648.32
  4. Step 4: Simplify right side
    208,171.12x = 39,245,290,918.31
  5. Step 5: Solve for x
    x = 39,245,290,918.31/208,171.12
  6. Step 6: Final answer
    x = 188,524.19

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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.