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Finding the Fourth Proportional to 78,757.38, 108,602.64 and 51,865.56

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Solution

The fourth proportional to 78,757.38, 108,602.64 and 51,865.56 is: 71,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,757.38 : 108,602.64 = 51,865.56 : x
  2. Step 2: Convert to fraction form
    78,757.38/108,602.64 = 51,865.56/x
  3. Step 3: Cross multiply
    78,757.38x = 108,602.64 × 51,865.56
  4. Step 4: Simplify right side
    78,757.38x = 5,632,736,741.08
  5. Step 5: Solve for x
    x = 5,632,736,741.08/78,757.38
  6. Step 6: Final answer
    x = 71,520.11

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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.