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Finding the Fourth Proportional to 71,978.96, 99,330.27 and 39,713.84

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Solution

The fourth proportional to 71,978.96, 99,330.27 and 39,713.84 is: 54,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,978.96 : 99,330.27 = 39,713.84 : x
  2. Step 2: Convert to fraction form
    71,978.96/99,330.27 = 39,713.84/x
  3. Step 3: Cross multiply
    71,978.96x = 99,330.27 × 39,713.84
  4. Step 4: Simplify right side
    71,978.96x = 3,944,785,804.36
  5. Step 5: Solve for x
    x = 3,944,785,804.36/71,978.96
  6. Step 6: Final answer
    x = 54,804.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.