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Finding the Fourth Proportional to 57,199.64, 78,936.06 and 31,706.55

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Solution

The fourth proportional to 57,199.64, 78,936.06 and 31,706.55 is: 43,755.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,199.64 : 78,936.06 = 31,706.55 : x
  2. Step 2: Convert to fraction form
    57,199.64/78,936.06 = 31,706.55/x
  3. Step 3: Cross multiply
    57,199.64x = 78,936.06 × 31,706.55
  4. Step 4: Simplify right side
    57,199.64x = 2,502,790,133.19
  5. Step 5: Solve for x
    x = 2,502,790,133.19/57,199.64
  6. Step 6: Final answer
    x = 43,755.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.