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Finding the Fourth Proportional to 70,111, 105,166.62 and 20,863

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Solution

The fourth proportional to 70,111, 105,166.62 and 20,863 is: 31,294.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,111 : 105,166.62 = 20,863 : x
  2. Step 2: Convert to fraction form
    70,111/105,166.62 = 20,863/x
  3. Step 3: Cross multiply
    70,111x = 105,166.62 × 20,863
  4. Step 4: Simplify right side
    70,111x = 2,194,091,193.06
  5. Step 5: Solve for x
    x = 2,194,091,193.06/70,111
  6. Step 6: Final answer
    x = 31,294.54

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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.