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Finding the Fourth Proportional to 201,795, 301,945.14 and 126,313.80

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Solution

The fourth proportional to 201,795, 301,945.14 and 126,313.80 is: 189,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,795 : 301,945.14 = 126,313.80 : x
  2. Step 2: Convert to fraction form
    201,795/301,945.14 = 126,313.80/x
  3. Step 3: Cross multiply
    201,795x = 301,945.14 × 126,313.80
  4. Step 4: Simplify right side
    201,795x = 38,139,838,024.93
  5. Step 5: Solve for x
    x = 38,139,838,024.93/201,795
  6. Step 6: Final answer
    x = 189,002.89

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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.