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Finding the Fourth Proportional to 120,141.22, 180,285.95 and 61,019.32

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Solution

The fourth proportional to 120,141.22, 180,285.95 and 61,019.32 is: 91,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,141.22 : 180,285.95 = 61,019.32 : x
  2. Step 2: Convert to fraction form
    120,141.22/180,285.95 = 61,019.32/x
  3. Step 3: Cross multiply
    120,141.22x = 180,285.95 × 61,019.32
  4. Step 4: Simplify right side
    120,141.22x = 11,000,926,074.55
  5. Step 5: Solve for x
    x = 11,000,926,074.55/120,141.22
  6. Step 6: Final answer
    x = 91,566.63

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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.