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Finding the Fourth Proportional to 201,221.37, 301,830.97 and 51,461.42

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Solution

The fourth proportional to 201,221.37, 301,830.97 and 51,461.42 is: 77,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,221.37 : 301,830.97 = 51,461.42 : x
  2. Step 2: Convert to fraction form
    201,221.37/301,830.97 = 51,461.42/x
  3. Step 3: Cross multiply
    201,221.37x = 301,830.97 × 51,461.42
  4. Step 4: Simplify right side
    201,221.37x = 15,532,650,316.18
  5. Step 5: Solve for x
    x = 15,532,650,316.18/201,221.37
  6. Step 6: Final answer
    x = 77,191.85

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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.