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Finding the Fourth Proportional to 120,801.60, 181,288.80 and 50,731.20

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Solution

The fourth proportional to 120,801.60, 181,288.80 and 50,731.20 is: 76,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,801.60 : 181,288.80 = 50,731.20 : x
  2. Step 2: Convert to fraction form
    120,801.60/181,288.80 = 50,731.20/x
  3. Step 3: Cross multiply
    120,801.60x = 181,288.80 × 50,731.20
  4. Step 4: Simplify right side
    120,801.60x = 9,196,998,370.56
  5. Step 5: Solve for x
    x = 9,196,998,370.56/120,801.60
  6. Step 6: Final answer
    x = 76,133.08

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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.