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Finding the Fourth Proportional to 138,768.30, 207,816.93 and 79,424.10

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Solution

The fourth proportional to 138,768.30, 207,816.93 and 79,424.10 is: 118,944.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,768.30 : 207,816.93 = 79,424.10 : x
  2. Step 2: Convert to fraction form
    138,768.30/207,816.93 = 79,424.10/x
  3. Step 3: Cross multiply
    138,768.30x = 207,816.93 × 79,424.10
  4. Step 4: Simplify right side
    138,768.30x = 16,505,672,630.01
  5. Step 5: Solve for x
    x = 16,505,672,630.01/138,768.30
  6. Step 6: Final answer
    x = 118,944.11

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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.