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Finding the Fourth Proportional to 55,809, 77,016.54 and 30,315.48

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Solution

The fourth proportional to 55,809, 77,016.54 and 30,315.48 is: 41,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,809 : 77,016.54 = 30,315.48 : x
  2. Step 2: Convert to fraction form
    55,809/77,016.54 = 30,315.48/x
  3. Step 3: Cross multiply
    55,809x = 77,016.54 × 30,315.48
  4. Step 4: Simplify right side
    55,809x = 2,334,793,378.04
  5. Step 5: Solve for x
    x = 2,334,793,378.04/55,809
  6. Step 6: Final answer
    x = 41,835.43

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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.