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Finding the Fourth Proportional to 120,326.72, 180,531.10 and 36,088.94

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Solution

The fourth proportional to 120,326.72, 180,531.10 and 36,088.94 is: 54,145.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,326.72 : 180,531.10 = 36,088.94 : x
  2. Step 2: Convert to fraction form
    120,326.72/180,531.10 = 36,088.94/x
  3. Step 3: Cross multiply
    120,326.72x = 180,531.10 × 36,088.94
  4. Step 4: Simplify right side
    120,326.72x = 6,515,176,036.03
  5. Step 5: Solve for x
    x = 6,515,176,036.03/120,326.72
  6. Step 6: Final answer
    x = 54,145.71

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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.