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Finding the Fourth Proportional to 120,278.66, 180,298.91 and 56,986.88

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Solution

The fourth proportional to 120,278.66, 180,298.91 and 56,986.88 is: 85,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,278.66 : 180,298.91 = 56,986.88 : x
  2. Step 2: Convert to fraction form
    120,278.66/180,298.91 = 56,986.88/x
  3. Step 3: Cross multiply
    120,278.66x = 180,298.91 × 56,986.88
  4. Step 4: Simplify right side
    120,278.66x = 10,274,671,589.27
  5. Step 5: Solve for x
    x = 10,274,671,589.27/120,278.66
  6. Step 6: Final answer
    x = 85,423.90

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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.