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Finding the Fourth Proportional to 119,589.44, 164,971.68 and 77,080.64

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Solution

The fourth proportional to 119,589.44, 164,971.68 and 77,080.64 is: 106,331.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,589.44 : 164,971.68 = 77,080.64 : x
  2. Step 2: Convert to fraction form
    119,589.44/164,971.68 = 77,080.64/x
  3. Step 3: Cross multiply
    119,589.44x = 164,971.68 × 77,080.64
  4. Step 4: Simplify right side
    119,589.44x = 12,716,122,676.28
  5. Step 5: Solve for x
    x = 12,716,122,676.28/119,589.44
  6. Step 6: Final answer
    x = 106,331.48

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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.