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Finding the Fourth Proportional to 138,327.54, 207,158.66 and 78,983.34

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Solution

The fourth proportional to 138,327.54, 207,158.66 and 78,983.34 is: 118,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,327.54 : 207,158.66 = 78,983.34 : x
  2. Step 2: Convert to fraction form
    138,327.54/207,158.66 = 78,983.34/x
  3. Step 3: Cross multiply
    138,327.54x = 207,158.66 × 78,983.34
  4. Step 4: Simplify right side
    138,327.54x = 16,362,082,876.72
  5. Step 5: Solve for x
    x = 16,362,082,876.72/138,327.54
  6. Step 6: Final answer
    x = 118,285.07

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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.