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Finding the Fourth Proportional to 286,891.87, 430,322.22 and 87,196.68

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Solution

The fourth proportional to 286,891.87, 430,322.22 and 87,196.68 is: 130,790.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,891.87 : 430,322.22 = 87,196.68 : x
  2. Step 2: Convert to fraction form
    286,891.87/430,322.22 = 87,196.68/x
  3. Step 3: Cross multiply
    286,891.87x = 430,322.22 × 87,196.68
  4. Step 4: Simplify right side
    286,891.87x = 37,522,670,048.07
  5. Step 5: Solve for x
    x = 37,522,670,048.07/286,891.87
  6. Step 6: Final answer
    x = 130,790.29

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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.