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Finding the Fourth Proportional to 180,420.40, 270,695.40 and 75,271.60

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Solution

The fourth proportional to 180,420.40, 270,695.40 and 75,271.60 is: 112,934.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,420.40 : 270,695.40 = 75,271.60 : x
  2. Step 2: Convert to fraction form
    180,420.40/270,695.40 = 75,271.60/x
  3. Step 3: Cross multiply
    180,420.40x = 270,695.40 × 75,271.60
  4. Step 4: Simplify right side
    180,420.40x = 20,375,675,870.64
  5. Step 5: Solve for x
    x = 20,375,675,870.64/180,420.40
  6. Step 6: Final answer
    x = 112,934.43

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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.