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Finding the Fourth Proportional to 201,309.60, 302,000.85 and 101,217.90

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Solution

The fourth proportional to 201,309.60, 302,000.85 and 101,217.90 is: 151,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,309.60 : 302,000.85 = 101,217.90 : x
  2. Step 2: Convert to fraction form
    201,309.60/302,000.85 = 101,217.90/x
  3. Step 3: Cross multiply
    201,309.60x = 302,000.85 × 101,217.90
  4. Step 4: Simplify right side
    201,309.60x = 30,567,891,835.22
  5. Step 5: Solve for x
    x = 30,567,891,835.22/201,309.60
  6. Step 6: Final answer
    x = 151,845.18

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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.