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Finding the Fourth Proportional to 213,893.80, 295,180.41 and 123,242.74

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Solution

The fourth proportional to 213,893.80, 295,180.41 and 123,242.74 is: 170,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,893.80 : 295,180.41 = 123,242.74 : x
  2. Step 2: Convert to fraction form
    213,893.80/295,180.41 = 123,242.74/x
  3. Step 3: Cross multiply
    213,893.80x = 295,180.41 × 123,242.74
  4. Step 4: Simplify right side
    213,893.80x = 36,378,842,522.72
  5. Step 5: Solve for x
    x = 36,378,842,522.72/213,893.80
  6. Step 6: Final answer
    x = 170,078.99

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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.