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Finding the Fourth Proportional to 102,142.80, 140,950.44 and 56,819.88

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Solution

The fourth proportional to 102,142.80, 140,950.44 and 56,819.88 is: 78,407.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,142.80 : 140,950.44 = 56,819.88 : x
  2. Step 2: Convert to fraction form
    102,142.80/140,950.44 = 56,819.88/x
  3. Step 3: Cross multiply
    102,142.80x = 140,950.44 × 56,819.88
  4. Step 4: Simplify right side
    102,142.80x = 8,008,787,086.75
  5. Step 5: Solve for x
    x = 8,008,787,086.75/102,142.80
  6. Step 6: Final answer
    x = 78,407.75

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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.