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Finding the Fourth Proportional to 70,897.80, 106,346.67 and 20,974.02

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Solution

The fourth proportional to 70,897.80, 106,346.67 and 20,974.02 is: 31,461.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,897.80 : 106,346.67 = 20,974.02 : x
  2. Step 2: Convert to fraction form
    70,897.80/106,346.67 = 20,974.02/x
  3. Step 3: Cross multiply
    70,897.80x = 106,346.67 × 20,974.02
  4. Step 4: Simplify right side
    70,897.80x = 2,230,517,183.51
  5. Step 5: Solve for x
    x = 2,230,517,183.51/70,897.80
  6. Step 6: Final answer
    x = 31,461.02

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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.