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Finding the Fourth Proportional to 120,319.39, 180,418.34 and 70,414.48

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Solution

The fourth proportional to 120,319.39, 180,418.34 and 70,414.48 is: 105,586.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,319.39 : 180,418.34 = 70,414.48 : x
  2. Step 2: Convert to fraction form
    120,319.39/180,418.34 = 70,414.48/x
  3. Step 3: Cross multiply
    120,319.39x = 180,418.34 × 70,414.48
  4. Step 4: Simplify right side
    120,319.39x = 12,704,063,599.04
  5. Step 5: Solve for x
    x = 12,704,063,599.04/120,319.39
  6. Step 6: Final answer
    x = 105,586.17

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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.