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Finding the Fourth Proportional to 55,731.90, 76,910.02 and 31,859.11

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Solution

The fourth proportional to 55,731.90, 76,910.02 and 31,859.11 is: 43,965.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,731.90 : 76,910.02 = 31,859.11 : x
  2. Step 2: Convert to fraction form
    55,731.90/76,910.02 = 31,859.11/x
  3. Step 3: Cross multiply
    55,731.90x = 76,910.02 × 31,859.11
  4. Step 4: Simplify right side
    55,731.90x = 2,450,284,515.36
  5. Step 5: Solve for x
    x = 2,450,284,515.36/55,731.90
  6. Step 6: Final answer
    x = 43,965.57

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1.5x scale

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.