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Finding the Fourth Proportional to 140,080, 193,310.40 and 89,779

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Solution

The fourth proportional to 140,080, 193,310.40 and 89,779 is: 123,895.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,080 : 193,310.40 = 89,779 : x
  2. Step 2: Convert to fraction form
    140,080/193,310.40 = 89,779/x
  3. Step 3: Cross multiply
    140,080x = 193,310.40 × 89,779
  4. Step 4: Simplify right side
    140,080x = 17,355,214,401.60
  5. Step 5: Solve for x
    x = 17,355,214,401.60/140,080
  6. Step 6: Final answer
    x = 123,895.02

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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.