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Finding the Fourth Proportional to 78,466.68, 108,286.14 and 42,659.15

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Solution

The fourth proportional to 78,466.68, 108,286.14 and 42,659.15 is: 58,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,466.68 : 108,286.14 = 42,659.15 : x
  2. Step 2: Convert to fraction form
    78,466.68/108,286.14 = 42,659.15/x
  3. Step 3: Cross multiply
    78,466.68x = 108,286.14 × 42,659.15
  4. Step 4: Simplify right side
    78,466.68x = 4,619,394,147.75
  5. Step 5: Solve for x
    x = 4,619,394,147.75/78,466.68
  6. Step 6: Final answer
    x = 58,870.77

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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.