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Finding the Fourth Proportional to 120,534.58, 166,322.34 and 66,819.10

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Solution

The fourth proportional to 120,534.58, 166,322.34 and 66,819.10 is: 92,201.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534.58 : 166,322.34 = 66,819.10 : x
  2. Step 2: Convert to fraction form
    120,534.58/166,322.34 = 66,819.10/x
  3. Step 3: Cross multiply
    120,534.58x = 166,322.34 × 66,819.10
  4. Step 4: Simplify right side
    120,534.58x = 11,113,509,068.69
  5. Step 5: Solve for x
    x = 11,113,509,068.69/120,534.58
  6. Step 6: Final answer
    x = 92,201.83

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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.