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Finding the Fourth Proportional to 40,538.48, 60,695.76 and 20,774.48

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Solution

The fourth proportional to 40,538.48, 60,695.76 and 20,774.48 is: 31,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,538.48 : 60,695.76 = 20,774.48 : x
  2. Step 2: Convert to fraction form
    40,538.48/60,695.76 = 20,774.48/x
  3. Step 3: Cross multiply
    40,538.48x = 60,695.76 × 20,774.48
  4. Step 4: Simplify right side
    40,538.48x = 1,260,922,852.20
  5. Step 5: Solve for x
    x = 1,260,922,852.20/40,538.48
  6. Step 6: Final answer
    x = 31,104.34

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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.