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Finding the Fourth Proportional to 120,421.20, 180,437.40 and 75,968.40

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Solution

The fourth proportional to 120,421.20, 180,437.40 and 75,968.40 is: 113,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,421.20 : 180,437.40 = 75,968.40 : x
  2. Step 2: Convert to fraction form
    120,421.20/180,437.40 = 75,968.40/x
  3. Step 3: Cross multiply
    120,421.20x = 180,437.40 × 75,968.40
  4. Step 4: Simplify right side
    120,421.20x = 13,707,540,578.16
  5. Step 5: Solve for x
    x = 13,707,540,578.16/120,421.20
  6. Step 6: Final answer
    x = 113,829.96

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1.5x scale

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.