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Finding the Fourth Proportional to 20,951,978.40, 31,437,298.80 and 9,586,576.80

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Solution

The fourth proportional to 20,951,978.40, 31,437,298.80 and 9,586,576.80 is: 14,384,134.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951,978.40 : 31,437,298.80 = 9,586,576.80 : x
  2. Step 2: Convert to fraction form
    20,951,978.40/31,437,298.80 = 9,586,576.80/x
  3. Step 3: Cross multiply
    20,951,978.40x = 31,437,298.80 × 9,586,576.80
  4. Step 4: Simplify right side
    20,951,978.40x = 301,376,079,330,747.88
  5. Step 5: Solve for x
    x = 301,376,079,330,747.88/20,951,978.40
  6. Step 6: Final answer
    x = 14,384,134.69

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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.