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Finding the Fourth Proportional to 201,806.70, 302,710.05 and 192,129.90

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Solution

The fourth proportional to 201,806.70, 302,710.05 and 192,129.90 is: 288,194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.70 : 302,710.05 = 192,129.90 : x
  2. Step 2: Convert to fraction form
    201,806.70/302,710.05 = 192,129.90/x
  3. Step 3: Cross multiply
    201,806.70x = 302,710.05 × 192,129.90
  4. Step 4: Simplify right side
    201,806.70x = 58,159,651,635.50
  5. Step 5: Solve for x
    x = 58,159,651,635.50/201,806.70
  6. Step 6: Final answer
    x = 288,194.85

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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.