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Finding the Fourth Proportional to 54,322.86, 74,965.71 and 30,125.53

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Solution

The fourth proportional to 54,322.86, 74,965.71 and 30,125.53 is: 41,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,322.86 : 74,965.71 = 30,125.53 : x
  2. Step 2: Convert to fraction form
    54,322.86/74,965.71 = 30,125.53/x
  3. Step 3: Cross multiply
    54,322.86x = 74,965.71 × 30,125.53
  4. Step 4: Simplify right side
    54,322.86x = 2,258,381,220.12
  5. Step 5: Solve for x
    x = 2,258,381,220.12/54,322.86
  6. Step 6: Final answer
    x = 41,573.31

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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.