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Finding the Fourth Proportional to 55,418, 76,476.84 and 30,267.56

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Solution

The fourth proportional to 55,418, 76,476.84 and 30,267.56 is: 41,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,418 : 76,476.84 = 30,267.56 : x
  2. Step 2: Convert to fraction form
    55,418/76,476.84 = 30,267.56/x
  3. Step 3: Cross multiply
    55,418x = 76,476.84 × 30,267.56
  4. Step 4: Simplify right side
    55,418x = 2,314,767,343.31
  5. Step 5: Solve for x
    x = 2,314,767,343.31/55,418
  6. Step 6: Final answer
    x = 41,769.23

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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.