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Finding the Fourth Proportional to 120,784.21, 166,697.59 and 73,037.90

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Solution

The fourth proportional to 120,784.21, 166,697.59 and 73,037.90 is: 100,801.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,784.21 : 166,697.59 = 73,037.90 : x
  2. Step 2: Convert to fraction form
    120,784.21/166,697.59 = 73,037.90/x
  3. Step 3: Cross multiply
    120,784.21x = 166,697.59 × 73,037.90
  4. Step 4: Simplify right side
    120,784.21x = 12,175,241,908.66
  5. Step 5: Solve for x
    x = 12,175,241,908.66/120,784.21
  6. Step 6: Final answer
    x = 100,801.60

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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.