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Finding the Fourth Proportional to 286,858.02, 430,286.94 and 87,177.72

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Solution

The fourth proportional to 286,858.02, 430,286.94 and 87,177.72 is: 130,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,858.02 : 430,286.94 = 87,177.72 : x
  2. Step 2: Convert to fraction form
    286,858.02/430,286.94 = 87,177.72/x
  3. Step 3: Cross multiply
    286,858.02x = 430,286.94 × 87,177.72
  4. Step 4: Simplify right side
    286,858.02x = 37,511,434,374.98
  5. Step 5: Solve for x
    x = 37,511,434,374.98/286,858.02
  6. Step 6: Final answer
    x = 130,766.55

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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.