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Finding the Fourth Proportional to 201,610.70, 278,222.75 and 109,730.65

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Solution

The fourth proportional to 201,610.70, 278,222.75 and 109,730.65 is: 151,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,610.70 : 278,222.75 = 109,730.65 : x
  2. Step 2: Convert to fraction form
    201,610.70/278,222.75 = 109,730.65/x
  3. Step 3: Cross multiply
    201,610.70x = 278,222.75 × 109,730.65
  4. Step 4: Simplify right side
    201,610.70x = 30,529,562,085.50
  5. Step 5: Solve for x
    x = 30,529,562,085.50/201,610.70
  6. Step 6: Final answer
    x = 151,428.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.