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Finding the Fourth Proportional to 120,244.38, 165,907.38 and 77,751.78

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Solution

The fourth proportional to 120,244.38, 165,907.38 and 77,751.78 is: 107,278.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,244.38 : 165,907.38 = 77,751.78 : x
  2. Step 2: Convert to fraction form
    120,244.38/165,907.38 = 77,751.78/x
  3. Step 3: Cross multiply
    120,244.38x = 165,907.38 × 77,751.78
  4. Step 4: Simplify right side
    120,244.38x = 12,899,594,110.14
  5. Step 5: Solve for x
    x = 12,899,594,110.14/120,244.38
  6. Step 6: Final answer
    x = 107,278.15

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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.