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Finding the Fourth Proportional to 120,417.20, 180,431.40 and 75,964.40

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Solution

The fourth proportional to 120,417.20, 180,431.40 and 75,964.40 is: 113,823.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,417.20 : 180,431.40 = 75,964.40 : x
  2. Step 2: Convert to fraction form
    120,417.20/180,431.40 = 75,964.40/x
  3. Step 3: Cross multiply
    120,417.20x = 180,431.40 × 75,964.40
  4. Step 4: Simplify right side
    120,417.20x = 13,706,363,042.16
  5. Step 5: Solve for x
    x = 13,706,363,042.16/120,417.20
  6. Step 6: Final answer
    x = 113,823.96

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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.