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Finding the Fourth Proportional to 102,692.88, 141,711.12 and 57,361.86

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Solution

The fourth proportional to 102,692.88, 141,711.12 and 57,361.86 is: 79,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,692.88 : 141,711.12 = 57,361.86 : x
  2. Step 2: Convert to fraction form
    102,692.88/141,711.12 = 57,361.86/x
  3. Step 3: Cross multiply
    102,692.88x = 141,711.12 × 57,361.86
  4. Step 4: Simplify right side
    102,692.88x = 8,128,813,425.88
  5. Step 5: Solve for x
    x = 8,128,813,425.88/102,692.88
  6. Step 6: Final answer
    x = 79,156.54

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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.