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Finding the Fourth Proportional to 40,137.88, 55,390.08 and 23,142

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Solution

The fourth proportional to 40,137.88, 55,390.08 and 23,142 is: 31,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,137.88 : 55,390.08 = 23,142 : x
  2. Step 2: Convert to fraction form
    40,137.88/55,390.08 = 23,142/x
  3. Step 3: Cross multiply
    40,137.88x = 55,390.08 × 23,142
  4. Step 4: Simplify right side
    40,137.88x = 1,281,837,231.36
  5. Step 5: Solve for x
    x = 1,281,837,231.36/40,137.88
  6. Step 6: Final answer
    x = 31,935.85

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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.