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Finding the Fourth Proportional to 40,156.58, 55,420 and 23,388.50

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Solution

The fourth proportional to 40,156.58, 55,420 and 23,388.50 is: 32,278.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,156.58 : 55,420 = 23,388.50 : x
  2. Step 2: Convert to fraction form
    40,156.58/55,420 = 23,388.50/x
  3. Step 3: Cross multiply
    40,156.58x = 55,420 × 23,388.50
  4. Step 4: Simplify right side
    40,156.58x = 1,296,190,670
  5. Step 5: Solve for x
    x = 1,296,190,670/40,156.58
  6. Step 6: Final answer
    x = 32,278.41

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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.