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Finding the Fourth Proportional to 78,069.42, 117,103.59 and 18,905.40

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Solution

The fourth proportional to 78,069.42, 117,103.59 and 18,905.40 is: 28,357.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,069.42 : 117,103.59 = 18,905.40 : x
  2. Step 2: Convert to fraction form
    78,069.42/117,103.59 = 18,905.40/x
  3. Step 3: Cross multiply
    78,069.42x = 117,103.59 × 18,905.40
  4. Step 4: Simplify right side
    78,069.42x = 2,213,890,210.39
  5. Step 5: Solve for x
    x = 2,213,890,210.39/78,069.42
  6. Step 6: Final answer
    x = 28,357.97

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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.