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Finding the Fourth Proportional to 73,656, 101,645.40 and 40,122

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Solution

The fourth proportional to 73,656, 101,645.40 and 40,122 is: 55,368.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,656 : 101,645.40 = 40,122 : x
  2. Step 2: Convert to fraction form
    73,656/101,645.40 = 40,122/x
  3. Step 3: Cross multiply
    73,656x = 101,645.40 × 40,122
  4. Step 4: Simplify right side
    73,656x = 4,078,216,738.80
  5. Step 5: Solve for x
    x = 4,078,216,738.80/73,656
  6. Step 6: Final answer
    x = 55,368.43

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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.