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Finding the Fourth Proportional to 201,720.30, 302,580.45 and 138,734.70

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Solution

The fourth proportional to 201,720.30, 302,580.45 and 138,734.70 is: 208,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,720.30 : 302,580.45 = 138,734.70 : x
  2. Step 2: Convert to fraction form
    201,720.30/302,580.45 = 138,734.70/x
  3. Step 3: Cross multiply
    201,720.30x = 302,580.45 × 138,734.70
  4. Step 4: Simplify right side
    201,720.30x = 41,978,407,956.62
  5. Step 5: Solve for x
    x = 41,978,407,956.62/201,720.30
  6. Step 6: Final answer
    x = 208,102.05

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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.