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Finding the Fourth Proportional to 178,323.90, 267,389.26 and 78,367.08

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Solution

The fourth proportional to 178,323.90, 267,389.26 and 78,367.08 is: 117,508.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,323.90 : 267,389.26 = 78,367.08 : x
  2. Step 2: Convert to fraction form
    178,323.90/267,389.26 = 78,367.08/x
  3. Step 3: Cross multiply
    178,323.90x = 267,389.26 × 78,367.08
  4. Step 4: Simplify right side
    178,323.90x = 20,954,515,529.56
  5. Step 5: Solve for x
    x = 20,954,515,529.56/178,323.90
  6. Step 6: Final answer
    x = 117,508.17

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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.