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Finding the Fourth Proportional to 207,425, 286,246.50 and 113,217

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Solution

The fourth proportional to 207,425, 286,246.50 and 113,217 is: 156,239.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,425 : 286,246.50 = 113,217 : x
  2. Step 2: Convert to fraction form
    207,425/286,246.50 = 113,217/x
  3. Step 3: Cross multiply
    207,425x = 286,246.50 × 113,217
  4. Step 4: Simplify right side
    207,425x = 32,407,969,990.50
  5. Step 5: Solve for x
    x = 32,407,969,990.50/207,425
  6. Step 6: Final answer
    x = 156,239.46

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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.