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Finding the Fourth Proportional to 78,394.58, 108,229.42 and 51,614.94

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Solution

The fourth proportional to 78,394.58, 108,229.42 and 51,614.94 is: 71,258.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,394.58 : 108,229.42 = 51,614.94 : x
  2. Step 2: Convert to fraction form
    78,394.58/108,229.42 = 51,614.94/x
  3. Step 3: Cross multiply
    78,394.58x = 108,229.42 × 51,614.94
  4. Step 4: Simplify right side
    78,394.58x = 5,586,255,019.53
  5. Step 5: Solve for x
    x = 5,586,255,019.53/78,394.58
  6. Step 6: Final answer
    x = 71,258.18

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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.