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Finding the Fourth Proportional to 120,565.86, 180,878.76 and 36,324.12

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Solution

The fourth proportional to 120,565.86, 180,878.76 and 36,324.12 is: 54,495.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,565.86 : 180,878.76 = 36,324.12 : x
  2. Step 2: Convert to fraction form
    120,565.86/180,878.76 = 36,324.12/x
  3. Step 3: Cross multiply
    120,565.86x = 180,878.76 × 36,324.12
  4. Step 4: Simplify right side
    120,565.86x = 6,570,261,783.69
  5. Step 5: Solve for x
    x = 6,570,261,783.69/120,565.86
  6. Step 6: Final answer
    x = 54,495.21

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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.