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Finding the Fourth Proportional to 178,453.66, 267,750.57 and 78,543.80

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Solution

The fourth proportional to 178,453.66, 267,750.57 and 78,543.80 is: 117,846.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,453.66 : 267,750.57 = 78,543.80 : x
  2. Step 2: Convert to fraction form
    178,453.66/267,750.57 = 78,543.80/x
  3. Step 3: Cross multiply
    178,453.66x = 267,750.57 × 78,543.80
  4. Step 4: Simplify right side
    178,453.66x = 21,030,147,711.96
  5. Step 5: Solve for x
    x = 21,030,147,711.96/178,453.66
  6. Step 6: Final answer
    x = 117,846.55

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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.