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Finding the Fourth Proportional to 138,920.40, 208,073.40 and 55,771.60

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Solution

The fourth proportional to 138,920.40, 208,073.40 and 55,771.60 is: 83,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,920.40 : 208,073.40 = 55,771.60 : x
  2. Step 2: Convert to fraction form
    138,920.40/208,073.40 = 55,771.60/x
  3. Step 3: Cross multiply
    138,920.40x = 208,073.40 × 55,771.60
  4. Step 4: Simplify right side
    138,920.40x = 11,604,586,435.44
  5. Step 5: Solve for x
    x = 11,604,586,435.44/138,920.40
  6. Step 6: Final answer
    x = 83,534.07

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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.