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Finding the Fourth Proportional to 70,886.92, 106,351.18 and 20,968.34

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Solution

The fourth proportional to 70,886.92, 106,351.18 and 20,968.34 is: 31,458.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886.92 : 106,351.18 = 20,968.34 : x
  2. Step 2: Convert to fraction form
    70,886.92/106,351.18 = 20,968.34/x
  3. Step 3: Cross multiply
    70,886.92x = 106,351.18 × 20,968.34
  4. Step 4: Simplify right side
    70,886.92x = 2,230,007,701.64
  5. Step 5: Solve for x
    x = 2,230,007,701.64/70,886.92
  6. Step 6: Final answer
    x = 31,458.66

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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.