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Finding the Fourth Proportional to 208,078.86, 311,987.07 and 114,650.22

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Solution

The fourth proportional to 208,078.86, 311,987.07 and 114,650.22 is: 171,903.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,078.86 : 311,987.07 = 114,650.22 : x
  2. Step 2: Convert to fraction form
    208,078.86/311,987.07 = 114,650.22/x
  3. Step 3: Cross multiply
    208,078.86x = 311,987.07 × 114,650.22
  4. Step 4: Simplify right side
    208,078.86x = 35,769,386,212.66
  5. Step 5: Solve for x
    x = 35,769,386,212.66/208,078.86
  6. Step 6: Final answer
    x = 171,903.03

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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.