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Finding the Fourth Proportional to 40,158, 55,418.04 and 22,494

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Solution

The fourth proportional to 40,158, 55,418.04 and 22,494 is: 31,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,158 : 55,418.04 = 22,494 : x
  2. Step 2: Convert to fraction form
    40,158/55,418.04 = 22,494/x
  3. Step 3: Cross multiply
    40,158x = 55,418.04 × 22,494
  4. Step 4: Simplify right side
    40,158x = 1,246,573,391.76
  5. Step 5: Solve for x
    x = 1,246,573,391.76/40,158
  6. Step 6: Final answer
    x = 31,041.72

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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.