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Finding the Fourth Proportional to 75,171, 103,739.40 and 41,637

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Solution

The fourth proportional to 75,171, 103,739.40 and 41,637 is: 57,460.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,171 : 103,739.40 = 41,637 : x
  2. Step 2: Convert to fraction form
    75,171/103,739.40 = 41,637/x
  3. Step 3: Cross multiply
    75,171x = 103,739.40 × 41,637
  4. Step 4: Simplify right side
    75,171x = 4,319,397,397.80
  5. Step 5: Solve for x
    x = 4,319,397,397.80/75,171
  6. Step 6: Final answer
    x = 57,460.95

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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.