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Finding the Fourth Proportional to 138,804.80, 208,345.44 and 76,504.64

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Solution

The fourth proportional to 138,804.80, 208,345.44 and 76,504.64 is: 114,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,804.80 : 208,345.44 = 76,504.64 : x
  2. Step 2: Convert to fraction form
    138,804.80/208,345.44 = 76,504.64/x
  3. Step 3: Cross multiply
    138,804.80x = 208,345.44 × 76,504.64
  4. Step 4: Simplify right side
    138,804.80x = 15,939,392,882.84
  5. Step 5: Solve for x
    x = 15,939,392,882.84/138,804.80
  6. Step 6: Final answer
    x = 114,833.15

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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.