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Finding the Fourth Proportional to 31,800.96, 47,672.28 and 16,200.36

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Solution

The fourth proportional to 31,800.96, 47,672.28 and 16,200.36 is: 24,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800.96 : 47,672.28 = 16,200.36 : x
  2. Step 2: Convert to fraction form
    31,800.96/47,672.28 = 16,200.36/x
  3. Step 3: Cross multiply
    31,800.96x = 47,672.28 × 16,200.36
  4. Step 4: Simplify right side
    31,800.96x = 772,308,098.02
  5. Step 5: Solve for x
    x = 772,308,098.02/31,800.96
  6. Step 6: Final answer
    x = 24,285.69

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