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Finding the Fourth Proportional to 138,215.20, 207,322.80 and 68,231.20

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Solution

The fourth proportional to 138,215.20, 207,322.80 and 68,231.20 is: 102,346.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,215.20 : 207,322.80 = 68,231.20 : x
  2. Step 2: Convert to fraction form
    138,215.20/207,322.80 = 68,231.20/x
  3. Step 3: Cross multiply
    138,215.20x = 207,322.80 × 68,231.20
  4. Step 4: Simplify right side
    138,215.20x = 14,145,883,431.36
  5. Step 5: Solve for x
    x = 14,145,883,431.36/138,215.20
  6. Step 6: Final answer
    x = 102,346.80

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1.5x scale

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.