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Finding the Fourth Proportional to 286,137.72, 429,206.64 and 108,644.88

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Solution

The fourth proportional to 286,137.72, 429,206.64 and 108,644.88 is: 162,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,137.72 : 429,206.64 = 108,644.88 : x
  2. Step 2: Convert to fraction form
    286,137.72/429,206.64 = 108,644.88/x
  3. Step 3: Cross multiply
    286,137.72x = 429,206.64 × 108,644.88
  4. Step 4: Simplify right side
    286,137.72x = 46,631,103,898.00
  5. Step 5: Solve for x
    x = 46,631,103,898.00/286,137.72
  6. Step 6: Final answer
    x = 162,967.34

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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.