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Finding the Fourth Proportional to 55,662, 76,813.74 and 30,168.78

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Solution

The fourth proportional to 55,662, 76,813.74 and 30,168.78 is: 41,633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,662 : 76,813.74 = 30,168.78 : x
  2. Step 2: Convert to fraction form
    55,662/76,813.74 = 30,168.78/x
  3. Step 3: Cross multiply
    55,662x = 76,813.74 × 30,168.78
  4. Step 4: Simplify right side
    55,662x = 2,317,376,823.04
  5. Step 5: Solve for x
    x = 2,317,376,823.04/55,662
  6. Step 6: Final answer
    x = 41,633.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.