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Finding the Fourth Proportional to 103,578, 155,367 and 25,754

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Solution

The fourth proportional to 103,578, 155,367 and 25,754 is: 38,631

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,578 : 155,367 = 25,754 : x
  2. Step 2: Convert to fraction form
    103,578/155,367 = 25,754/x
  3. Step 3: Cross multiply
    103,578x = 155,367 × 25,754
  4. Step 4: Simplify right side
    103,578x = 4,001,321,718
  5. Step 5: Solve for x
    x = 4,001,321,718/103,578
  6. Step 6: Final answer
    x = 38,631

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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.