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Finding the Fourth Proportional to 54,178, 74,765.82 and 30,303.14

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Solution

The fourth proportional to 54,178, 74,765.82 and 30,303.14 is: 41,818.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,178 : 74,765.82 = 30,303.14 : x
  2. Step 2: Convert to fraction form
    54,178/74,765.82 = 30,303.14/x
  3. Step 3: Cross multiply
    54,178x = 74,765.82 × 30,303.14
  4. Step 4: Simplify right side
    54,178x = 2,265,639,110.67
  5. Step 5: Solve for x
    x = 2,265,639,110.67/54,178
  6. Step 6: Final answer
    x = 41,818.43

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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.