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Finding the Fourth Proportional to 31,666.80, 43,703.16 and 18,920

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Solution

The fourth proportional to 31,666.80, 43,703.16 and 18,920 is: 26,111.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,666.80 : 43,703.16 = 18,920 : x
  2. Step 2: Convert to fraction form
    31,666.80/43,703.16 = 18,920/x
  3. Step 3: Cross multiply
    31,666.80x = 43,703.16 × 18,920
  4. Step 4: Simplify right side
    31,666.80x = 826,863,787.20
  5. Step 5: Solve for x
    x = 826,863,787.20/31,666.80
  6. Step 6: Final answer
    x = 26,111.38

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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.