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Finding the Fourth Proportional to 178,276.80, 267,415.20 and 78,330.90

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Solution

The fourth proportional to 178,276.80, 267,415.20 and 78,330.90 is: 117,496.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,276.80 : 267,415.20 = 78,330.90 : x
  2. Step 2: Convert to fraction form
    178,276.80/267,415.20 = 78,330.90/x
  3. Step 3: Cross multiply
    178,276.80x = 267,415.20 × 78,330.90
  4. Step 4: Simplify right side
    178,276.80x = 20,946,873,289.68
  5. Step 5: Solve for x
    x = 20,946,873,289.68/178,276.80
  6. Step 6: Final answer
    x = 117,496.35

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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.