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Finding the Fourth Proportional to 201,667.60, 302,720.10 and 126,872.20

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Solution

The fourth proportional to 201,667.60, 302,720.10 and 126,872.20 is: 190,445.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,667.60 : 302,720.10 = 126,872.20 : x
  2. Step 2: Convert to fraction form
    201,667.60/302,720.10 = 126,872.20/x
  3. Step 3: Cross multiply
    201,667.60x = 302,720.10 × 126,872.20
  4. Step 4: Simplify right side
    201,667.60x = 38,406,765,071.22
  5. Step 5: Solve for x
    x = 38,406,765,071.22/201,667.60
  6. Step 6: Final answer
    x = 190,445.89

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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.