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Finding the Fourth Proportional to 120,952, 181,039.80 and 64,651.36

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Solution

The fourth proportional to 120,952, 181,039.80 and 64,651.36 is: 96,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,952 : 181,039.80 = 64,651.36 : x
  2. Step 2: Convert to fraction form
    120,952/181,039.80 = 64,651.36/x
  3. Step 3: Cross multiply
    120,952x = 181,039.80 × 64,651.36
  4. Step 4: Simplify right side
    120,952x = 11,704,469,284.13
  5. Step 5: Solve for x
    x = 11,704,469,284.13/120,952
  6. Step 6: Final answer
    x = 96,769.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.