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Finding the Fourth Proportional to 178,323.91, 267,389.26 and 78,367.07

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Solution

The fourth proportional to 178,323.91, 267,389.26 and 78,367.07 is: 117,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,323.91 : 267,389.26 = 78,367.07 : x
  2. Step 2: Convert to fraction form
    178,323.91/267,389.26 = 78,367.07/x
  3. Step 3: Cross multiply
    178,323.91x = 267,389.26 × 78,367.07
  4. Step 4: Simplify right side
    178,323.91x = 20,954,512,855.67
  5. Step 5: Solve for x
    x = 20,954,512,855.67/178,323.91
  6. Step 6: Final answer
    x = 117,508.15

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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.