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Finding the Fourth Proportional to 71,124.96, 106,688.31 and 21,206.68

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Solution

The fourth proportional to 71,124.96, 106,688.31 and 21,206.68 is: 31,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,124.96 : 106,688.31 = 21,206.68 : x
  2. Step 2: Convert to fraction form
    71,124.96/106,688.31 = 21,206.68/x
  3. Step 3: Cross multiply
    71,124.96x = 106,688.31 × 21,206.68
  4. Step 4: Simplify right side
    71,124.96x = 2,262,504,849.91
  5. Step 5: Solve for x
    x = 2,262,504,849.91/71,124.96
  6. Step 6: Final answer
    x = 31,810.28

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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.