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Finding the Fourth Proportional to 120,315.32, 180,498.08 and 36,072.08

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Solution

The fourth proportional to 120,315.32, 180,498.08 and 36,072.08 is: 54,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,315.32 : 180,498.08 = 36,072.08 : x
  2. Step 2: Convert to fraction form
    120,315.32/180,498.08 = 36,072.08/x
  3. Step 3: Cross multiply
    120,315.32x = 180,498.08 × 36,072.08
  4. Step 4: Simplify right side
    120,315.32x = 6,510,941,181.61
  5. Step 5: Solve for x
    x = 6,510,941,181.61/120,315.32
  6. Step 6: Final answer
    x = 54,115.65

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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.