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Finding the Fourth Proportional to 71,695.86, 107,541.36 and 27,321

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Solution

The fourth proportional to 71,695.86, 107,541.36 and 27,321 is: 40,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,695.86 : 107,541.36 = 27,321 : x
  2. Step 2: Convert to fraction form
    71,695.86/107,541.36 = 27,321/x
  3. Step 3: Cross multiply
    71,695.86x = 107,541.36 × 27,321
  4. Step 4: Simplify right side
    71,695.86x = 2,938,137,496.56
  5. Step 5: Solve for x
    x = 2,938,137,496.56/71,695.86
  6. Step 6: Final answer
    x = 40,980.57

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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.