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Finding the Fourth Proportional to 71,271.60, 106,907.85 and 18,680.63

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Solution

The fourth proportional to 71,271.60, 106,907.85 and 18,680.63 is: 28,021.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,271.60 : 106,907.85 = 18,680.63 : x
  2. Step 2: Convert to fraction form
    71,271.60/106,907.85 = 18,680.63/x
  3. Step 3: Cross multiply
    71,271.60x = 106,907.85 × 18,680.63
  4. Step 4: Simplify right side
    71,271.60x = 1,997,105,455.41
  5. Step 5: Solve for x
    x = 1,997,105,455.41/71,271.60
  6. Step 6: Final answer
    x = 28,021.06

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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.