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Finding the Fourth Proportional to 213,878.62, 295,218.30 and 123,295.17

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Solution

The fourth proportional to 213,878.62, 295,218.30 and 123,295.17 is: 170,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,878.62 : 295,218.30 = 123,295.17 : x
  2. Step 2: Convert to fraction form
    213,878.62/295,218.30 = 123,295.17/x
  3. Step 3: Cross multiply
    213,878.62x = 295,218.30 × 123,295.17
  4. Step 4: Simplify right side
    213,878.62x = 36,398,990,485.61
  5. Step 5: Solve for x
    x = 36,398,990,485.61/213,878.62
  6. Step 6: Final answer
    x = 170,185.27

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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.