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Finding the Fourth Proportional to 57,156.40, 78,874 and 31,661.72

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Solution

The fourth proportional to 57,156.40, 78,874 and 31,661.72 is: 43,692.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156.40 : 78,874 = 31,661.72 : x
  2. Step 2: Convert to fraction form
    57,156.40/78,874 = 31,661.72/x
  3. Step 3: Cross multiply
    57,156.40x = 78,874 × 31,661.72
  4. Step 4: Simplify right side
    57,156.40x = 2,497,286,503.28
  5. Step 5: Solve for x
    x = 2,497,286,503.28/57,156.40
  6. Step 6: Final answer
    x = 43,692.16

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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.