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Finding the Fourth Proportional to 78,176.64, 117,263.88 and 19,012.12

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Solution

The fourth proportional to 78,176.64, 117,263.88 and 19,012.12 is: 28,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,176.64 : 117,263.88 = 19,012.12 : x
  2. Step 2: Convert to fraction form
    78,176.64/117,263.88 = 19,012.12/x
  3. Step 3: Cross multiply
    78,176.64x = 117,263.88 × 19,012.12
  4. Step 4: Simplify right side
    78,176.64x = 2,229,434,958.23
  5. Step 5: Solve for x
    x = 2,229,434,958.23/78,176.64
  6. Step 6: Final answer
    x = 28,517.92

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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.