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Finding the Fourth Proportional to 208,711.12, 288,019.12 and 113,217

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Solution

The fourth proportional to 208,711.12, 288,019.12 and 113,217 is: 156,238.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,711.12 : 288,019.12 = 113,217 : x
  2. Step 2: Convert to fraction form
    208,711.12/288,019.12 = 113,217/x
  3. Step 3: Cross multiply
    208,711.12x = 288,019.12 × 113,217
  4. Step 4: Simplify right side
    208,711.12x = 32,608,660,709.04
  5. Step 5: Solve for x
    x = 32,608,660,709.04/208,711.12
  6. Step 6: Final answer
    x = 156,238.25

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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.