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Finding the Fourth Proportional to 71,254.31, 98,326.86 and 39,421.31

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Solution

The fourth proportional to 71,254.31, 98,326.86 and 39,421.31 is: 54,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,254.31 : 98,326.86 = 39,421.31 : x
  2. Step 2: Convert to fraction form
    71,254.31/98,326.86 = 39,421.31/x
  3. Step 3: Cross multiply
    71,254.31x = 98,326.86 × 39,421.31
  4. Step 4: Simplify right side
    71,254.31x = 3,876,173,137.75
  5. Step 5: Solve for x
    x = 3,876,173,137.75/71,254.31
  6. Step 6: Final answer
    x = 54,399.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.