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Finding the Fourth Proportional to 45,809.63, 68,689.46 and 13,784.03

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Solution

The fourth proportional to 45,809.63, 68,689.46 and 13,784.03 is: 20,668.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,809.63 : 68,689.46 = 13,784.03 : x
  2. Step 2: Convert to fraction form
    45,809.63/68,689.46 = 13,784.03/x
  3. Step 3: Cross multiply
    45,809.63x = 68,689.46 × 13,784.03
  4. Step 4: Simplify right side
    45,809.63x = 946,817,854.31
  5. Step 5: Solve for x
    x = 946,817,854.31/45,809.63
  6. Step 6: Final answer
    x = 20,668.53

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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.