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Finding the Fourth Proportional to 120,084.13, 165,706.13 and 66,369.13

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Solution

The fourth proportional to 120,084.13, 165,706.13 and 66,369.13 is: 91,583.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,084.13 : 165,706.13 = 66,369.13 : x
  2. Step 2: Convert to fraction form
    120,084.13/165,706.13 = 66,369.13/x
  3. Step 3: Cross multiply
    120,084.13x = 165,706.13 × 66,369.13
  4. Step 4: Simplify right side
    120,084.13x = 10,997,771,559.05
  5. Step 5: Solve for x
    x = 10,997,771,559.05/120,084.13
  6. Step 6: Final answer
    x = 91,583.89

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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.