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Finding the Fourth Proportional to 40,309, 55,627.44 and 22,159.48

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Solution

The fourth proportional to 40,309, 55,627.44 and 22,159.48 is: 30,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,309 : 55,627.44 = 22,159.48 : x
  2. Step 2: Convert to fraction form
    40,309/55,627.44 = 22,159.48/x
  3. Step 3: Cross multiply
    40,309x = 55,627.44 × 22,159.48
  4. Step 4: Simplify right side
    40,309x = 1,232,675,144.13
  5. Step 5: Solve for x
    x = 1,232,675,144.13/40,309
  6. Step 6: Final answer
    x = 30,580.64

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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.