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Finding the Fourth Proportional to 45,393.04, 68,031.90 and 20,406.40

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Solution

The fourth proportional to 45,393.04, 68,031.90 and 20,406.40 is: 30,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,393.04 : 68,031.90 = 20,406.40 : x
  2. Step 2: Convert to fraction form
    45,393.04/68,031.90 = 20,406.40/x
  3. Step 3: Cross multiply
    45,393.04x = 68,031.90 × 20,406.40
  4. Step 4: Simplify right side
    45,393.04x = 1,388,286,164.16
  5. Step 5: Solve for x
    x = 1,388,286,164.16/45,393.04
  6. Step 6: Final answer
    x = 30,583.68

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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.