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Finding the Fourth Proportional to 120,398.58, 180,597.96 and 70,824.24

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Solution

The fourth proportional to 120,398.58, 180,597.96 and 70,824.24 is: 106,236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,398.58 : 180,597.96 = 70,824.24 : x
  2. Step 2: Convert to fraction form
    120,398.58/180,597.96 = 70,824.24/x
  3. Step 3: Cross multiply
    120,398.58x = 180,597.96 × 70,824.24
  4. Step 4: Simplify right side
    120,398.58x = 12,790,713,262.55
  5. Step 5: Solve for x
    x = 12,790,713,262.55/120,398.58
  6. Step 6: Final answer
    x = 106,236.41

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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.