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Finding the Fourth Proportional to 55,728.90, 76,905.88 and 31,856.09

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Solution

The fourth proportional to 55,728.90, 76,905.88 and 31,856.09 is: 43,961.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,728.90 : 76,905.88 = 31,856.09 : x
  2. Step 2: Convert to fraction form
    55,728.90/76,905.88 = 31,856.09/x
  3. Step 3: Cross multiply
    55,728.90x = 76,905.88 × 31,856.09
  4. Step 4: Simplify right side
    55,728.90x = 2,449,920,747.43
  5. Step 5: Solve for x
    x = 2,449,920,747.43/55,728.90
  6. Step 6: Final answer
    x = 43,961.41

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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.