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Finding the Fourth Proportional to 120,354.43, 165,938.35 and 77,257.88

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Solution

The fourth proportional to 120,354.43, 165,938.35 and 77,257.88 is: 106,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354.43 : 165,938.35 = 77,257.88 : x
  2. Step 2: Convert to fraction form
    120,354.43/165,938.35 = 77,257.88/x
  3. Step 3: Cross multiply
    120,354.43x = 165,938.35 × 77,257.88
  4. Step 4: Simplify right side
    120,354.43x = 12,820,045,131.70
  5. Step 5: Solve for x
    x = 12,820,045,131.70/120,354.43
  6. Step 6: Final answer
    x = 106,519.10

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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.