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Finding the Fourth Proportional to 70,921.86, 106,383.14 and 21,002.90

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Solution

The fourth proportional to 70,921.86, 106,383.14 and 21,002.90 is: 31,504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,921.86 : 106,383.14 = 21,002.90 : x
  2. Step 2: Convert to fraction form
    70,921.86/106,383.14 = 21,002.90/x
  3. Step 3: Cross multiply
    70,921.86x = 106,383.14 × 21,002.90
  4. Step 4: Simplify right side
    70,921.86x = 2,234,354,451.11
  5. Step 5: Solve for x
    x = 2,234,354,451.11/70,921.86
  6. Step 6: Final answer
    x = 31,504.45

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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.