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Finding the Fourth Proportional to 120,396, 179,861.82 and 77,930.12

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Solution

The fourth proportional to 120,396, 179,861.82 and 77,930.12 is: 116,421.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,396 : 179,861.82 = 77,930.12 : x
  2. Step 2: Convert to fraction form
    120,396/179,861.82 = 77,930.12/x
  3. Step 3: Cross multiply
    120,396x = 179,861.82 × 77,930.12
  4. Step 4: Simplify right side
    120,396x = 14,016,653,216.02
  5. Step 5: Solve for x
    x = 14,016,653,216.02/120,396
  6. Step 6: Final answer
    x = 116,421.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.