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Finding the Fourth Proportional to 55,776.54, 76,971.19 and 30,282.40

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Solution

The fourth proportional to 55,776.54, 76,971.19 and 30,282.40 is: 41,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,776.54 : 76,971.19 = 30,282.40 : x
  2. Step 2: Convert to fraction form
    55,776.54/76,971.19 = 30,282.40/x
  3. Step 3: Cross multiply
    55,776.54x = 76,971.19 × 30,282.40
  4. Step 4: Simplify right side
    55,776.54x = 2,330,872,554.90
  5. Step 5: Solve for x
    x = 2,330,872,554.90/55,776.54
  6. Step 6: Final answer
    x = 41,789.48

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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.