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Finding the Fourth Proportional to 71,973.76, 108,022.08 and 28,228.48

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Solution

The fourth proportional to 71,973.76, 108,022.08 and 28,228.48 is: 42,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,973.76 : 108,022.08 = 28,228.48 : x
  2. Step 2: Convert to fraction form
    71,973.76/108,022.08 = 28,228.48/x
  3. Step 3: Cross multiply
    71,973.76x = 108,022.08 × 28,228.48
  4. Step 4: Simplify right side
    71,973.76x = 3,049,299,124.84
  5. Step 5: Solve for x
    x = 3,049,299,124.84/71,973.76
  6. Step 6: Final answer
    x = 42,366.82

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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.