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Finding the Fourth Proportional to 213,908.12, 295,393.23 and 137,559.80

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Solution

The fourth proportional to 213,908.12, 295,393.23 and 137,559.80 is: 189,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,908.12 : 295,393.23 = 137,559.80 : x
  2. Step 2: Convert to fraction form
    213,908.12/295,393.23 = 137,559.80/x
  3. Step 3: Cross multiply
    213,908.12x = 295,393.23 × 137,559.80
  4. Step 4: Simplify right side
    213,908.12x = 40,634,233,640.15
  5. Step 5: Solve for x
    x = 40,634,233,640.15/213,908.12
  6. Step 6: Final answer
    x = 189,961.16

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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.