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Finding the Fourth Proportional to 71,818, 107,727 and 25,058.32

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Solution

The fourth proportional to 71,818, 107,727 and 25,058.32 is: 37,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,818 : 107,727 = 25,058.32 : x
  2. Step 2: Convert to fraction form
    71,818/107,727 = 25,058.32/x
  3. Step 3: Cross multiply
    71,818x = 107,727 × 25,058.32
  4. Step 4: Simplify right side
    71,818x = 2,699,457,638.64
  5. Step 5: Solve for x
    x = 2,699,457,638.64/71,818
  6. Step 6: Final answer
    x = 37,587.48

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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.