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Finding the Fourth Proportional to 120,812.60, 181,177.80 and 45,914.72

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Solution

The fourth proportional to 120,812.60, 181,177.80 and 45,914.72 is: 68,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,812.60 : 181,177.80 = 45,914.72 : x
  2. Step 2: Convert to fraction form
    120,812.60/181,177.80 = 45,914.72/x
  3. Step 3: Cross multiply
    120,812.60x = 181,177.80 × 45,914.72
  4. Step 4: Simplify right side
    120,812.60x = 8,318,727,957.22
  5. Step 5: Solve for x
    x = 8,318,727,957.22/120,812.60
  6. Step 6: Final answer
    x = 68,856.46

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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.