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Finding the Fourth Proportional to 201,984.20, 302,781.90 and 156,980.60

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Solution

The fourth proportional to 201,984.20, 302,781.90 and 156,980.60 is: 235,319.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,984.20 : 302,781.90 = 156,980.60 : x
  2. Step 2: Convert to fraction form
    201,984.20/302,781.90 = 156,980.60/x
  3. Step 3: Cross multiply
    201,984.20x = 302,781.90 × 156,980.60
  4. Step 4: Simplify right side
    201,984.20x = 47,530,884,331.14
  5. Step 5: Solve for x
    x = 47,530,884,331.14/201,984.20
  6. Step 6: Final answer
    x = 235,319.81

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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.