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Finding the Fourth Proportional to 102,676, 141,692.88 and 57,964

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Solution

The fourth proportional to 102,676, 141,692.88 and 57,964 is: 79,990.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,676 : 141,692.88 = 57,964 : x
  2. Step 2: Convert to fraction form
    102,676/141,692.88 = 57,964/x
  3. Step 3: Cross multiply
    102,676x = 141,692.88 × 57,964
  4. Step 4: Simplify right side
    102,676x = 8,213,086,096.32
  5. Step 5: Solve for x
    x = 8,213,086,096.32/102,676
  6. Step 6: Final answer
    x = 79,990.32

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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.