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Finding the Fourth Proportional to 71,411.74, 107,117.99 and 21,491.50

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Solution

The fourth proportional to 71,411.74, 107,117.99 and 21,491.50 is: 32,237.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,411.74 : 107,117.99 = 21,491.50 : x
  2. Step 2: Convert to fraction form
    71,411.74/107,117.99 = 21,491.50/x
  3. Step 3: Cross multiply
    71,411.74x = 107,117.99 × 21,491.50
  4. Step 4: Simplify right side
    71,411.74x = 2,302,126,282.09
  5. Step 5: Solve for x
    x = 2,302,126,282.09/71,411.74
  6. Step 6: Final answer
    x = 32,237.36

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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.