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Finding the Fourth Proportional to 71,316.71, 106,968.69 and 21,407.96

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Solution

The fourth proportional to 71,316.71, 106,968.69 and 21,407.96 is: 32,110.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,316.71 : 106,968.69 = 21,407.96 : x
  2. Step 2: Convert to fraction form
    71,316.71/106,968.69 = 21,407.96/x
  3. Step 3: Cross multiply
    71,316.71x = 106,968.69 × 21,407.96
  4. Step 4: Simplify right side
    71,316.71x = 2,289,981,436.77
  5. Step 5: Solve for x
    x = 2,289,981,436.77/71,316.71
  6. Step 6: Final answer
    x = 32,110.03

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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.