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Finding the Fourth Proportional to 120,407.78, 180,667.72 and 53,892.90

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Solution

The fourth proportional to 120,407.78, 180,667.72 and 53,892.90 is: 80,864.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,407.78 : 180,667.72 = 53,892.90 : x
  2. Step 2: Convert to fraction form
    120,407.78/180,667.72 = 53,892.90/x
  3. Step 3: Cross multiply
    120,407.78x = 180,667.72 × 53,892.90
  4. Step 4: Simplify right side
    120,407.78x = 9,736,707,367.19
  5. Step 5: Solve for x
    x = 9,736,707,367.19/120,407.78
  6. Step 6: Final answer
    x = 80,864.44

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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.