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Finding the Fourth Proportional to 55,548.50, 76,656.93 and 30,398

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Solution

The fourth proportional to 55,548.50, 76,656.93 and 30,398 is: 41,949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,548.50 : 76,656.93 = 30,398 : x
  2. Step 2: Convert to fraction form
    55,548.50/76,656.93 = 30,398/x
  3. Step 3: Cross multiply
    55,548.50x = 76,656.93 × 30,398
  4. Step 4: Simplify right side
    55,548.50x = 2,330,217,358.14
  5. Step 5: Solve for x
    x = 2,330,217,358.14/55,548.50
  6. Step 6: Final answer
    x = 41,949.24

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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.