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Finding the Fourth Proportional to 138,324.54, 207,154.16 and 78,980.34

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Solution

The fourth proportional to 138,324.54, 207,154.16 and 78,980.34 is: 118,280.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,324.54 : 207,154.16 = 78,980.34 : x
  2. Step 2: Convert to fraction form
    138,324.54/207,154.16 = 78,980.34/x
  3. Step 3: Cross multiply
    138,324.54x = 207,154.16 × 78,980.34
  4. Step 4: Simplify right side
    138,324.54x = 16,361,105,989.21
  5. Step 5: Solve for x
    x = 16,361,105,989.21/138,324.54
  6. Step 6: Final answer
    x = 118,280.57

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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.