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Finding the Fourth Proportional to 120,589.76, 180,886.16 and 45,689.78

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Solution

The fourth proportional to 120,589.76, 180,886.16 and 45,689.78 is: 68,535.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,589.76 : 180,886.16 = 45,689.78 : x
  2. Step 2: Convert to fraction form
    120,589.76/180,886.16 = 45,689.78/x
  3. Step 3: Cross multiply
    120,589.76x = 180,886.16 × 45,689.78
  4. Step 4: Simplify right side
    120,589.76x = 8,264,648,855.44
  5. Step 5: Solve for x
    x = 8,264,648,855.44/120,589.76
  6. Step 6: Final answer
    x = 68,535.25

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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.