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Finding the Fourth Proportional to 138,920.40, 208,300.14 and 122,313.78

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Solution

The fourth proportional to 138,920.40, 208,300.14 and 122,313.78 is: 183,399.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.40 : 208,300.14 = 122,313.78 : x
  2. Step 2: Convert to fraction form
    138,920.40/208,300.14 = 122,313.78/x
  3. Step 3: Cross multiply
    138,920.40x = 208,300.14 × 122,313.78
  4. Step 4: Simplify right side
    138,920.40x = 25,477,977,497.93
  5. Step 5: Solve for x
    x = 25,477,977,497.93/138,920.40
  6. Step 6: Final answer
    x = 183,399.83

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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.