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Finding the Fourth Proportional to 208,713.12, 288,021.88 and 113,219

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Solution

The fourth proportional to 208,713.12, 288,021.88 and 113,219 is: 156,241.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,713.12 : 288,021.88 = 113,219 : x
  2. Step 2: Convert to fraction form
    208,713.12/288,021.88 = 113,219/x
  3. Step 3: Cross multiply
    208,713.12x = 288,021.88 × 113,219
  4. Step 4: Simplify right side
    208,713.12x = 32,609,549,231.72
  5. Step 5: Solve for x
    x = 32,609,549,231.72/208,713.12
  6. Step 6: Final answer
    x = 156,241.01

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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.