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Finding the Fourth Proportional to 120,656.71, 180,985.11 and 41,727.88

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Solution

The fourth proportional to 120,656.71, 180,985.11 and 41,727.88 is: 62,591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,656.71 : 180,985.11 = 41,727.88 : x
  2. Step 2: Convert to fraction form
    120,656.71/180,985.11 = 41,727.88/x
  3. Step 3: Cross multiply
    120,656.71x = 180,985.11 × 41,727.88
  4. Step 4: Simplify right side
    120,656.71x = 7,552,124,951.87
  5. Step 5: Solve for x
    x = 7,552,124,951.87/120,656.71
  6. Step 6: Final answer
    x = 62,591.84

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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.