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Finding the Fourth Proportional to 71,461.36, 107,079.25 and 26,420.91

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Solution

The fourth proportional to 71,461.36, 107,079.25 and 26,420.91 is: 39,589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,461.36 : 107,079.25 = 26,420.91 : x
  2. Step 2: Convert to fraction form
    71,461.36/107,079.25 = 26,420.91/x
  3. Step 3: Cross multiply
    71,461.36x = 107,079.25 × 26,420.91
  4. Step 4: Simplify right side
    71,461.36x = 2,829,131,227.12
  5. Step 5: Solve for x
    x = 2,829,131,227.12/71,461.36
  6. Step 6: Final answer
    x = 39,589.66

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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.