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Finding the Fourth Proportional to 71,970.22, 107,929.41 and 30,420.46

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Solution

The fourth proportional to 71,970.22, 107,929.41 and 30,420.46 is: 45,619.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,970.22 : 107,929.41 = 30,420.46 : x
  2. Step 2: Convert to fraction form
    71,970.22/107,929.41 = 30,420.46/x
  3. Step 3: Cross multiply
    71,970.22x = 107,929.41 × 30,420.46
  4. Step 4: Simplify right side
    71,970.22x = 3,283,262,299.73
  5. Step 5: Solve for x
    x = 3,283,262,299.73/71,970.22
  6. Step 6: Final answer
    x = 45,619.73

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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.