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Finding the Fourth Proportional to 120,914.67, 166,810.45 and 75,513.84

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Solution

The fourth proportional to 120,914.67, 166,810.45 and 75,513.84 is: 104,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,914.67 : 166,810.45 = 75,513.84 : x
  2. Step 2: Convert to fraction form
    120,914.67/166,810.45 = 75,513.84/x
  3. Step 3: Cross multiply
    120,914.67x = 166,810.45 × 75,513.84
  4. Step 4: Simplify right side
    120,914.67x = 12,596,497,631.63
  5. Step 5: Solve for x
    x = 12,596,497,631.63/120,914.67
  6. Step 6: Final answer
    x = 104,176.75

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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.