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Finding the Fourth Proportional to 207,424, 286,245.12 and 113,216

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Solution

The fourth proportional to 207,424, 286,245.12 and 113,216 is: 156,238.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,424 : 286,245.12 = 113,216 : x
  2. Step 2: Convert to fraction form
    207,424/286,245.12 = 113,216/x
  3. Step 3: Cross multiply
    207,424x = 286,245.12 × 113,216
  4. Step 4: Simplify right side
    207,424x = 32,407,527,505.92
  5. Step 5: Solve for x
    x = 32,407,527,505.92/207,424
  6. Step 6: Final answer
    x = 156,238.08

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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.