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Finding the Fourth Proportional to 31,389, 43,320.66 and 18,141

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Solution

The fourth proportional to 31,389, 43,320.66 and 18,141 is: 25,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,389 : 43,320.66 = 18,141 : x
  2. Step 2: Convert to fraction form
    31,389/43,320.66 = 18,141/x
  3. Step 3: Cross multiply
    31,389x = 43,320.66 × 18,141
  4. Step 4: Simplify right side
    31,389x = 785,880,093.06
  5. Step 5: Solve for x
    x = 785,880,093.06/31,389
  6. Step 6: Final answer
    x = 25,036.80

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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.