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Finding the Fourth Proportional to 81,809.46, 122,690.46 and 31,878.42

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Solution

The fourth proportional to 81,809.46, 122,690.46 and 31,878.42 is: 47,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,809.46 : 122,690.46 = 31,878.42 : x
  2. Step 2: Convert to fraction form
    81,809.46/122,690.46 = 31,878.42/x
  3. Step 3: Cross multiply
    81,809.46x = 122,690.46 × 31,878.42
  4. Step 4: Simplify right side
    81,809.46x = 3,911,178,013.87
  5. Step 5: Solve for x
    x = 3,911,178,013.87/81,809.46
  6. Step 6: Final answer
    x = 47,808.38

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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.