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Finding the Fourth Proportional to 120,190.88, 180,210 and 63,996.32

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Solution

The fourth proportional to 120,190.88, 180,210 and 63,996.32 is: 95,953.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,190.88 : 180,210 = 63,996.32 : x
  2. Step 2: Convert to fraction form
    120,190.88/180,210 = 63,996.32/x
  3. Step 3: Cross multiply
    120,190.88x = 180,210 × 63,996.32
  4. Step 4: Simplify right side
    120,190.88x = 11,532,776,827.20
  5. Step 5: Solve for x
    x = 11,532,776,827.20/120,190.88
  6. Step 6: Final answer
    x = 95,953.84

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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.