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Finding the Fourth Proportional to 75,347.01, 103,982.13 and 45,137.25

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Solution

The fourth proportional to 75,347.01, 103,982.13 and 45,137.25 is: 62,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,347.01 : 103,982.13 = 45,137.25 : x
  2. Step 2: Convert to fraction form
    75,347.01/103,982.13 = 45,137.25/x
  3. Step 3: Cross multiply
    75,347.01x = 103,982.13 × 45,137.25
  4. Step 4: Simplify right side
    75,347.01x = 4,693,467,397.34
  5. Step 5: Solve for x
    x = 4,693,467,397.34/75,347.01
  6. Step 6: Final answer
    x = 62,291.36

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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.