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Finding the Fourth Proportional to 207,404.23, 311,291.78 and 106,271.28

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Solution

The fourth proportional to 207,404.23, 311,291.78 and 106,271.28 is: 159,501.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404.23 : 311,291.78 = 106,271.28 : x
  2. Step 2: Convert to fraction form
    207,404.23/311,291.78 = 106,271.28/x
  3. Step 3: Cross multiply
    207,404.23x = 311,291.78 × 106,271.28
  4. Step 4: Simplify right side
    207,404.23x = 33,081,375,914.08
  5. Step 5: Solve for x
    x = 33,081,375,914.08/207,404.23
  6. Step 6: Final answer
    x = 159,501.93

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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.