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Finding the Fourth Proportional to 73,401.66, 110,106.66 and 20,807

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Solution

The fourth proportional to 73,401.66, 110,106.66 and 20,807 is: 31,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,401.66 : 110,106.66 = 20,807 : x
  2. Step 2: Convert to fraction form
    73,401.66/110,106.66 = 20,807/x
  3. Step 3: Cross multiply
    73,401.66x = 110,106.66 × 20,807
  4. Step 4: Simplify right side
    73,401.66x = 2,290,989,274.62
  5. Step 5: Solve for x
    x = 2,290,989,274.62/73,401.66
  6. Step 6: Final answer
    x = 31,211.68

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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.