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Finding the Fourth Proportional to 120,536.22, 166,339.98 and 66,821.10

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Solution

The fourth proportional to 120,536.22, 166,339.98 and 66,821.10 is: 92,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,536.22 : 166,339.98 = 66,821.10 : x
  2. Step 2: Convert to fraction form
    120,536.22/166,339.98 = 66,821.10/x
  3. Step 3: Cross multiply
    120,536.22x = 166,339.98 × 66,821.10
  4. Step 4: Simplify right side
    120,536.22x = 11,115,020,437.58
  5. Step 5: Solve for x
    x = 11,115,020,437.58/120,536.22
  6. Step 6: Final answer
    x = 92,213.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.