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Finding the Fourth Proportional to 253,232.75, 379,708.88 and 103,578.14

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Solution

The fourth proportional to 253,232.75, 379,708.88 and 103,578.14 is: 155,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,232.75 : 379,708.88 = 103,578.14 : x
  2. Step 2: Convert to fraction form
    253,232.75/379,708.88 = 103,578.14/x
  3. Step 3: Cross multiply
    253,232.75x = 379,708.88 × 103,578.14
  4. Step 4: Simplify right side
    253,232.75x = 39,329,537,115.45
  5. Step 5: Solve for x
    x = 39,329,537,115.45/253,232.75
  6. Step 6: Final answer
    x = 155,309.84

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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.