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Finding the Fourth Proportional to 142,379.91, 213,404.58 and 53,576.82

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Solution

The fourth proportional to 142,379.91, 213,404.58 and 53,576.82 is: 80,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,379.91 : 213,404.58 = 53,576.82 : x
  2. Step 2: Convert to fraction form
    142,379.91/213,404.58 = 53,576.82/x
  3. Step 3: Cross multiply
    142,379.91x = 213,404.58 × 53,576.82
  4. Step 4: Simplify right side
    142,379.91x = 11,433,538,769.84
  5. Step 5: Solve for x
    x = 11,433,538,769.84/142,379.91
  6. Step 6: Final answer
    x = 80,303.03

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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.