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Finding the Fourth Proportional to 201,971.60, 302,957.40 and 131,469.20

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Solution

The fourth proportional to 201,971.60, 302,957.40 and 131,469.20 is: 197,203.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971.60 : 302,957.40 = 131,469.20 : x
  2. Step 2: Convert to fraction form
    201,971.60/302,957.40 = 131,469.20/x
  3. Step 3: Cross multiply
    201,971.60x = 302,957.40 × 131,469.20
  4. Step 4: Simplify right side
    201,971.60x = 39,829,567,012.08
  5. Step 5: Solve for x
    x = 39,829,567,012.08/201,971.60
  6. Step 6: Final answer
    x = 197,203.80

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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.