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Finding the Fourth Proportional to 80,833.64, 121,269.90 and 25,429.64

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Solution

The fourth proportional to 80,833.64, 121,269.90 and 25,429.64 is: 38,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,833.64 : 121,269.90 = 25,429.64 : x
  2. Step 2: Convert to fraction form
    80,833.64/121,269.90 = 25,429.64/x
  3. Step 3: Cross multiply
    80,833.64x = 121,269.90 × 25,429.64
  4. Step 4: Simplify right side
    80,833.64x = 3,083,849,899.84
  5. Step 5: Solve for x
    x = 3,083,849,899.84/80,833.64
  6. Step 6: Final answer
    x = 38,150.58

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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.