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Finding the Fourth Proportional to 201,434.60, 302,370.60 and 126,639.20

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Solution

The fourth proportional to 201,434.60, 302,370.60 and 126,639.20 is: 190,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,434.60 : 302,370.60 = 126,639.20 : x
  2. Step 2: Convert to fraction form
    201,434.60/302,370.60 = 126,639.20/x
  3. Step 3: Cross multiply
    201,434.60x = 302,370.60 × 126,639.20
  4. Step 4: Simplify right side
    201,434.60x = 38,291,970,887.52
  5. Step 5: Solve for x
    x = 38,291,970,887.52/201,434.60
  6. Step 6: Final answer
    x = 190,096.29

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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.