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Finding the Fourth Proportional to 128,773.16, 193,122.30 and 49,869.80

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Solution

The fourth proportional to 128,773.16, 193,122.30 and 49,869.80 is: 74,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,773.16 : 193,122.30 = 49,869.80 : x
  2. Step 2: Convert to fraction form
    128,773.16/193,122.30 = 49,869.80/x
  3. Step 3: Cross multiply
    128,773.16x = 193,122.30 × 49,869.80
  4. Step 4: Simplify right side
    128,773.16x = 9,630,970,476.54
  5. Step 5: Solve for x
    x = 9,630,970,476.54/128,773.16
  6. Step 6: Final answer
    x = 74,790.20

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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.