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Finding the Fourth Proportional to 31,081.80, 46,549.80 and 21,167.40

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Solution

The fourth proportional to 31,081.80, 46,549.80 and 21,167.40 is: 31,701.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,081.80 : 46,549.80 = 21,167.40 : x
  2. Step 2: Convert to fraction form
    31,081.80/46,549.80 = 21,167.40/x
  3. Step 3: Cross multiply
    31,081.80x = 46,549.80 × 21,167.40
  4. Step 4: Simplify right side
    31,081.80x = 985,338,236.52
  5. Step 5: Solve for x
    x = 985,338,236.52/31,081.80
  6. Step 6: Final answer
    x = 31,701.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.