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Finding the Fourth Proportional to 178,367.76, 267,638.76 and 78,515.40

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Solution

The fourth proportional to 178,367.76, 267,638.76 and 78,515.40 is: 117,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,367.76 : 267,638.76 = 78,515.40 : x
  2. Step 2: Convert to fraction form
    178,367.76/267,638.76 = 78,515.40/x
  3. Step 3: Cross multiply
    178,367.76x = 267,638.76 × 78,515.40
  4. Step 4: Simplify right side
    178,367.76x = 21,013,764,296.90
  5. Step 5: Solve for x
    x = 21,013,764,296.90/178,367.76
  6. Step 6: Final answer
    x = 117,811.45

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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.