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Finding the Fourth Proportional to 71,578.25, 107,384.81 and 21,655.53

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Solution

The fourth proportional to 71,578.25, 107,384.81 and 21,655.53 is: 32,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.25 : 107,384.81 = 21,655.53 : x
  2. Step 2: Convert to fraction form
    71,578.25/107,384.81 = 21,655.53/x
  3. Step 3: Cross multiply
    71,578.25x = 107,384.81 × 21,655.53
  4. Step 4: Simplify right side
    71,578.25x = 2,325,474,866.22
  5. Step 5: Solve for x
    x = 2,325,474,866.22/71,578.25
  6. Step 6: Final answer
    x = 32,488.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.