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Finding the Fourth Proportional to 70,755.38, 106,096.52 and 20,829

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Solution

The fourth proportional to 70,755.38, 106,096.52 and 20,829 is: 31,232.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,755.38 : 106,096.52 = 20,829 : x
  2. Step 2: Convert to fraction form
    70,755.38/106,096.52 = 20,829/x
  3. Step 3: Cross multiply
    70,755.38x = 106,096.52 × 20,829
  4. Step 4: Simplify right side
    70,755.38x = 2,209,884,415.08
  5. Step 5: Solve for x
    x = 2,209,884,415.08/70,755.38
  6. Step 6: Final answer
    x = 31,232.74

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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.