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Finding the Fourth Proportional to 195,638.40, 293,117.40 and 90,241.20

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Solution

The fourth proportional to 195,638.40, 293,117.40 and 90,241.20 is: 135,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,638.40 : 293,117.40 = 90,241.20 : x
  2. Step 2: Convert to fraction form
    195,638.40/293,117.40 = 90,241.20/x
  3. Step 3: Cross multiply
    195,638.40x = 293,117.40 × 90,241.20
  4. Step 4: Simplify right side
    195,638.40x = 26,451,265,916.88
  5. Step 5: Solve for x
    x = 26,451,265,916.88/195,638.40
  6. Step 6: Final answer
    x = 135,204.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.