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Finding the Fourth Proportional to 201,762.70, 301,866.45 and 131,778.70

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Solution

The fourth proportional to 201,762.70, 301,866.45 and 131,778.70 is: 197,160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,762.70 : 301,866.45 = 131,778.70 : x
  2. Step 2: Convert to fraction form
    201,762.70/301,866.45 = 131,778.70/x
  3. Step 3: Cross multiply
    201,762.70x = 301,866.45 × 131,778.70
  4. Step 4: Simplify right side
    201,762.70x = 39,779,568,354.62
  5. Step 5: Solve for x
    x = 39,779,568,354.62/201,762.70
  6. Step 6: Final answer
    x = 197,160.17

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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.