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Finding the Fourth Proportional to 103,806.30, 155,709.45 and 85,107.45

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Solution

The fourth proportional to 103,806.30, 155,709.45 and 85,107.45 is: 127,661.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,806.30 : 155,709.45 = 85,107.45 : x
  2. Step 2: Convert to fraction form
    103,806.30/155,709.45 = 85,107.45/x
  3. Step 3: Cross multiply
    103,806.30x = 155,709.45 × 85,107.45
  4. Step 4: Simplify right side
    103,806.30x = 13,252,034,230.40
  5. Step 5: Solve for x
    x = 13,252,034,230.40/103,806.30
  6. Step 6: Final answer
    x = 127,661.18

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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.