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Finding the Fourth Proportional to 54,294.71, 74,919.74 and 30,415.50

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Solution

The fourth proportional to 54,294.71, 74,919.74 and 30,415.50 is: 41,969.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,294.71 : 74,919.74 = 30,415.50 : x
  2. Step 2: Convert to fraction form
    54,294.71/74,919.74 = 30,415.50/x
  3. Step 3: Cross multiply
    54,294.71x = 74,919.74 × 30,415.50
  4. Step 4: Simplify right side
    54,294.71x = 2,278,721,199.89
  5. Step 5: Solve for x
    x = 2,278,721,199.89/54,294.71
  6. Step 6: Final answer
    x = 41,969.49

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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.