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Finding the Fourth Proportional to 71,106, 106,676.28 and 21,858

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Solution

The fourth proportional to 71,106, 106,676.28 and 21,858 is: 32,792.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,106 : 106,676.28 = 21,858 : x
  2. Step 2: Convert to fraction form
    71,106/106,676.28 = 21,858/x
  3. Step 3: Cross multiply
    71,106x = 106,676.28 × 21,858
  4. Step 4: Simplify right side
    71,106x = 2,331,730,128.24
  5. Step 5: Solve for x
    x = 2,331,730,128.24/71,106
  6. Step 6: Final answer
    x = 32,792.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.