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Finding the Fourth Proportional to 71,143.20, 106,714.80 and 61,927.20

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Solution

The fourth proportional to 71,143.20, 106,714.80 and 61,927.20 is: 92,890.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.20 : 106,714.80 = 61,927.20 : x
  2. Step 2: Convert to fraction form
    71,143.20/106,714.80 = 61,927.20/x
  3. Step 3: Cross multiply
    71,143.20x = 106,714.80 × 61,927.20
  4. Step 4: Simplify right side
    71,143.20x = 6,608,548,762.56
  5. Step 5: Solve for x
    x = 6,608,548,762.56/71,143.20
  6. Step 6: Final answer
    x = 92,890.80

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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.