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Finding the Fourth Proportional to 286,137.69, 429,245.88 and 106,207.83

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Solution

The fourth proportional to 286,137.69, 429,245.88 and 106,207.83 is: 159,326.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,137.69 : 429,245.88 = 106,207.83 : x
  2. Step 2: Convert to fraction form
    286,137.69/429,245.88 = 106,207.83/x
  3. Step 3: Cross multiply
    286,137.69x = 429,245.88 × 106,207.83
  4. Step 4: Simplify right side
    286,137.69x = 45,589,271,708.81
  5. Step 5: Solve for x
    x = 45,589,271,708.81/286,137.69
  6. Step 6: Final answer
    x = 159,326.34

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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.