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Finding the Fourth Proportional to 54,493.84, 75,208.22 and 30,620

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Solution

The fourth proportional to 54,493.84, 75,208.22 and 30,620 is: 42,259.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.84 : 75,208.22 = 30,620 : x
  2. Step 2: Convert to fraction form
    54,493.84/75,208.22 = 30,620/x
  3. Step 3: Cross multiply
    54,493.84x = 75,208.22 × 30,620
  4. Step 4: Simplify right side
    54,493.84x = 2,302,875,696.40
  5. Step 5: Solve for x
    x = 2,302,875,696.40/54,493.84
  6. Step 6: Final answer
    x = 42,259.38

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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.