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Finding the Fourth Proportional to 70,884.36, 106,345.90 and 20,966.92

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Solution

The fourth proportional to 70,884.36, 106,345.90 and 20,966.92 is: 31,456.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,884.36 : 106,345.90 = 20,966.92 : x
  2. Step 2: Convert to fraction form
    70,884.36/106,345.90 = 20,966.92/x
  3. Step 3: Cross multiply
    70,884.36x = 106,345.90 × 20,966.92
  4. Step 4: Simplify right side
    70,884.36x = 2,229,745,977.63
  5. Step 5: Solve for x
    x = 2,229,745,977.63/70,884.36
  6. Step 6: Final answer
    x = 31,456.11

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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.