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Finding the Fourth Proportional to 201,182.13, 301,782.31 and 81,247.05

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Solution

The fourth proportional to 201,182.13, 301,782.31 and 81,247.05 is: 121,874.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,182.13 : 301,782.31 = 81,247.05 : x
  2. Step 2: Convert to fraction form
    201,182.13/301,782.31 = 81,247.05/x
  3. Step 3: Cross multiply
    201,182.13x = 301,782.31 × 81,247.05
  4. Step 4: Simplify right side
    201,182.13x = 24,518,922,226.57
  5. Step 5: Solve for x
    x = 24,518,922,226.57/201,182.13
  6. Step 6: Final answer
    x = 121,874.26

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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.