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Finding the Fourth Proportional to 72,285.75, 108,415.56 and 19,682.93

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Solution

The fourth proportional to 72,285.75, 108,415.56 and 19,682.93 is: 29,520.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,285.75 : 108,415.56 = 19,682.93 : x
  2. Step 2: Convert to fraction form
    72,285.75/108,415.56 = 19,682.93/x
  3. Step 3: Cross multiply
    72,285.75x = 108,415.56 × 19,682.93
  4. Step 4: Simplify right side
    72,285.75x = 2,133,935,336.31
  5. Step 5: Solve for x
    x = 2,133,935,336.31/72,285.75
  6. Step 6: Final answer
    x = 29,520.83

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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.