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Finding the Fourth Proportional to 129,693.60, 194,396.40 and 50,781.60

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Solution

The fourth proportional to 129,693.60, 194,396.40 and 50,781.60 is: 76,116.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693.60 : 194,396.40 = 50,781.60 : x
  2. Step 2: Convert to fraction form
    129,693.60/194,396.40 = 50,781.60/x
  3. Step 3: Cross multiply
    129,693.60x = 194,396.40 × 50,781.60
  4. Step 4: Simplify right side
    129,693.60x = 9,871,760,226.24
  5. Step 5: Solve for x
    x = 9,871,760,226.24/129,693.60
  6. Step 6: Final answer
    x = 76,116.02

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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.