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Finding the Fourth Proportional to 78,684.20, 108,333.42 and 73,318.76

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Solution

The fourth proportional to 78,684.20, 108,333.42 and 73,318.76 is: 100,946.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,684.20 : 108,333.42 = 73,318.76 : x
  2. Step 2: Convert to fraction form
    78,684.20/108,333.42 = 73,318.76/x
  3. Step 3: Cross multiply
    78,684.20x = 108,333.42 × 73,318.76
  4. Step 4: Simplify right side
    78,684.20x = 7,942,872,020.96
  5. Step 5: Solve for x
    x = 7,942,872,020.96/78,684.20
  6. Step 6: Final answer
    x = 100,946.21

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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.