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Finding the Fourth Proportional to 142,251.38, 213,238.40 and 56,836.78

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Solution

The fourth proportional to 142,251.38, 213,238.40 and 56,836.78 is: 85,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,251.38 : 213,238.40 = 56,836.78 : x
  2. Step 2: Convert to fraction form
    142,251.38/213,238.40 = 56,836.78/x
  3. Step 3: Cross multiply
    142,251.38x = 213,238.40 × 56,836.78
  4. Step 4: Simplify right side
    142,251.38x = 12,119,783,211.07
  5. Step 5: Solve for x
    x = 12,119,783,211.07/142,251.38
  6. Step 6: Final answer
    x = 85,199.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.