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Finding the Fourth Proportional to 213,378.83, 319,860.22 and 85,256.92

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Solution

The fourth proportional to 213,378.83, 319,860.22 and 85,256.92 is: 127,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,378.83 : 319,860.22 = 85,256.92 : x
  2. Step 2: Convert to fraction form
    213,378.83/319,860.22 = 85,256.92/x
  3. Step 3: Cross multiply
    213,378.83x = 319,860.22 × 85,256.92
  4. Step 4: Simplify right side
    213,378.83x = 27,270,297,187.72
  5. Step 5: Solve for x
    x = 27,270,297,187.72/213,378.83
  6. Step 6: Final answer
    x = 127,802.26

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1.5x scale

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.