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Finding the Fourth Proportional to 40,200.78, 55,477.53 and 22,296.30

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Solution

The fourth proportional to 40,200.78, 55,477.53 and 22,296.30 is: 30,769.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,200.78 : 55,477.53 = 22,296.30 : x
  2. Step 2: Convert to fraction form
    40,200.78/55,477.53 = 22,296.30/x
  3. Step 3: Cross multiply
    40,200.78x = 55,477.53 × 22,296.30
  4. Step 4: Simplify right side
    40,200.78x = 1,236,943,652.14
  5. Step 5: Solve for x
    x = 1,236,943,652.14/40,200.78
  6. Step 6: Final answer
    x = 30,769.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.