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Finding the Fourth Proportional to 208,404.63, 312,107.44 and 106,935.66

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Solution

The fourth proportional to 208,404.63, 312,107.44 and 106,935.66 is: 160,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,404.63 : 312,107.44 = 106,935.66 : x
  2. Step 2: Convert to fraction form
    208,404.63/312,107.44 = 106,935.66/x
  3. Step 3: Cross multiply
    208,404.63x = 312,107.44 × 106,935.66
  4. Step 4: Simplify right side
    208,404.63x = 33,375,413,259.43
  5. Step 5: Solve for x
    x = 33,375,413,259.43/208,404.63
  6. Step 6: Final answer
    x = 160,147.18

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1.5x scale

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.