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Finding the Fourth Proportional to 120,903.60, 181,312.20 and 54,375.60

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Solution

The fourth proportional to 120,903.60, 181,312.20 and 54,375.60 is: 81,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,903.60 : 181,312.20 = 54,375.60 : x
  2. Step 2: Convert to fraction form
    120,903.60/181,312.20 = 54,375.60/x
  3. Step 3: Cross multiply
    120,903.60x = 181,312.20 × 54,375.60
  4. Step 4: Simplify right side
    120,903.60x = 9,858,959,662.32
  5. Step 5: Solve for x
    x = 9,858,959,662.32/120,903.60
  6. Step 6: Final answer
    x = 81,543.97

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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.