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Finding the Fourth Proportional to 137,296.80, 205,986.78 and 57,373.56

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Solution

The fourth proportional to 137,296.80, 205,986.78 and 57,373.56 is: 86,077.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296.80 : 205,986.78 = 57,373.56 : x
  2. Step 2: Convert to fraction form
    137,296.80/205,986.78 = 57,373.56/x
  3. Step 3: Cross multiply
    137,296.80x = 205,986.78 × 57,373.56
  4. Step 4: Simplify right side
    137,296.80x = 11,818,194,881.54
  5. Step 5: Solve for x
    x = 11,818,194,881.54/137,296.80
  6. Step 6: Final answer
    x = 86,077.72

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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.