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Finding the Fourth Proportional to 180,195.40, 270,427.74 and 67,986.28

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Solution

The fourth proportional to 180,195.40, 270,427.74 and 67,986.28 is: 102,030.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,195.40 : 270,427.74 = 67,986.28 : x
  2. Step 2: Convert to fraction form
    180,195.40/270,427.74 = 67,986.28/x
  3. Step 3: Cross multiply
    180,195.40x = 270,427.74 × 67,986.28
  4. Step 4: Simplify right side
    180,195.40x = 18,385,376,051.41
  5. Step 5: Solve for x
    x = 18,385,376,051.41/180,195.40
  6. Step 6: Final answer
    x = 102,030.22

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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.