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Finding the Fourth Proportional to 120,557.61, 180,866.39 and 36,315.86

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Solution

The fourth proportional to 120,557.61, 180,866.39 and 36,315.86 is: 54,482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,557.61 : 180,866.39 = 36,315.86 : x
  2. Step 2: Convert to fraction form
    120,557.61/180,866.39 = 36,315.86/x
  3. Step 3: Cross multiply
    120,557.61x = 180,866.39 × 36,315.86
  4. Step 4: Simplify right side
    120,557.61x = 6,568,317,412.03
  5. Step 5: Solve for x
    x = 6,568,317,412.03/120,557.61
  6. Step 6: Final answer
    x = 54,482.81

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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.