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Finding the Fourth Proportional to 120,078.66, 180,128.25 and 35,833.40

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Solution

The fourth proportional to 120,078.66, 180,128.25 and 35,833.40 is: 53,753.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.66 : 180,128.25 = 35,833.40 : x
  2. Step 2: Convert to fraction form
    120,078.66/180,128.25 = 35,833.40/x
  3. Step 3: Cross multiply
    120,078.66x = 180,128.25 × 35,833.40
  4. Step 4: Simplify right side
    120,078.66x = 6,454,606,732.91
  5. Step 5: Solve for x
    x = 6,454,606,732.91/120,078.66
  6. Step 6: Final answer
    x = 53,753.15

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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.