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Finding the Fourth Proportional to 120,428.90, 180,599.72 and 40,442.94

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Solution

The fourth proportional to 120,428.90, 180,599.72 and 40,442.94 is: 60,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,428.90 : 180,599.72 = 40,442.94 : x
  2. Step 2: Convert to fraction form
    120,428.90/180,599.72 = 40,442.94/x
  3. Step 3: Cross multiply
    120,428.90x = 180,599.72 × 40,442.94
  4. Step 4: Simplify right side
    120,428.90x = 7,303,983,741.08
  5. Step 5: Solve for x
    x = 7,303,983,741.08/120,428.90
  6. Step 6: Final answer
    x = 60,649.76

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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.