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Finding the Fourth Proportional to 136,980, 205,315.56 and 103,591.80

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Solution

The fourth proportional to 136,980, 205,315.56 and 103,591.80 is: 155,270.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,980 : 205,315.56 = 103,591.80 : x
  2. Step 2: Convert to fraction form
    136,980/205,315.56 = 103,591.80/x
  3. Step 3: Cross multiply
    136,980x = 205,315.56 × 103,591.80
  4. Step 4: Simplify right side
    136,980x = 21,269,008,428.41
  5. Step 5: Solve for x
    x = 21,269,008,428.41/136,980
  6. Step 6: Final answer
    x = 155,270.90

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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.