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Finding the Fourth Proportional to 80,411.36, 120,673.20 and 33,030.08

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Solution

The fourth proportional to 80,411.36, 120,673.20 and 33,030.08 is: 49,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411.36 : 120,673.20 = 33,030.08 : x
  2. Step 2: Convert to fraction form
    80,411.36/120,673.20 = 33,030.08/x
  3. Step 3: Cross multiply
    80,411.36x = 120,673.20 × 33,030.08
  4. Step 4: Simplify right side
    80,411.36x = 3,985,845,449.86
  5. Step 5: Solve for x
    x = 3,985,845,449.86/80,411.36
  6. Step 6: Final answer
    x = 49,568.19

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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.