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Finding the Fourth Proportional to 70,026, 105,039 and 20,778

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Solution

The fourth proportional to 70,026, 105,039 and 20,778 is: 31,167

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,026 : 105,039 = 20,778 : x
  2. Step 2: Convert to fraction form
    70,026/105,039 = 20,778/x
  3. Step 3: Cross multiply
    70,026x = 105,039 × 20,778
  4. Step 4: Simplify right side
    70,026x = 2,182,500,342
  5. Step 5: Solve for x
    x = 2,182,500,342/70,026
  6. Step 6: Final answer
    x = 31,167

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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.