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Finding the Fourth Proportional to 78,139.60, 117,468.60 and 66,734.80

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Solution

The fourth proportional to 78,139.60, 117,468.60 and 66,734.80 is: 100,323.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,139.60 : 117,468.60 = 66,734.80 : x
  2. Step 2: Convert to fraction form
    78,139.60/117,468.60 = 66,734.80/x
  3. Step 3: Cross multiply
    78,139.60x = 117,468.60 × 66,734.80
  4. Step 4: Simplify right side
    78,139.60x = 7,839,243,527.28
  5. Step 5: Solve for x
    x = 7,839,243,527.28/78,139.60
  6. Step 6: Final answer
    x = 100,323.57

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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.