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Finding the Fourth Proportional to 120,924.29, 166,950.21 and 77,918.96

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Solution

The fourth proportional to 120,924.29, 166,950.21 and 77,918.96 is: 107,576.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,924.29 : 166,950.21 = 77,918.96 : x
  2. Step 2: Convert to fraction form
    120,924.29/166,950.21 = 77,918.96/x
  3. Step 3: Cross multiply
    120,924.29x = 166,950.21 × 77,918.96
  4. Step 4: Simplify right side
    120,924.29x = 13,008,587,444.55
  5. Step 5: Solve for x
    x = 13,008,587,444.55/120,924.29
  6. Step 6: Final answer
    x = 107,576.30

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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.