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Finding the Fourth Proportional to 138,232.80, 207,355.12 and 48,284.64

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Solution

The fourth proportional to 138,232.80, 207,355.12 and 48,284.64 is: 72,429.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,232.80 : 207,355.12 = 48,284.64 : x
  2. Step 2: Convert to fraction form
    138,232.80/207,355.12 = 48,284.64/x
  3. Step 3: Cross multiply
    138,232.80x = 207,355.12 × 48,284.64
  4. Step 4: Simplify right side
    138,232.80x = 10,012,067,321.36
  5. Step 5: Solve for x
    x = 10,012,067,321.36/138,232.80
  6. Step 6: Final answer
    x = 72,429.03

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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.