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Finding the Fourth Proportional to 120,420.61, 180,656.26 and 45,539.08

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Solution

The fourth proportional to 120,420.61, 180,656.26 and 45,539.08 is: 68,318.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,420.61 : 180,656.26 = 45,539.08 : x
  2. Step 2: Convert to fraction form
    120,420.61/180,656.26 = 45,539.08/x
  3. Step 3: Cross multiply
    120,420.61x = 180,656.26 × 45,539.08
  4. Step 4: Simplify right side
    120,420.61x = 8,226,919,311.15
  5. Step 5: Solve for x
    x = 8,226,919,311.15/120,420.61
  6. Step 6: Final answer
    x = 68,318.20

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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.