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Finding the Fourth Proportional to 171,290.24, 256,658.88 and 105,488

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Solution

The fourth proportional to 171,290.24, 256,658.88 and 105,488 is: 158,061.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,290.24 : 256,658.88 = 105,488 : x
  2. Step 2: Convert to fraction form
    171,290.24/256,658.88 = 105,488/x
  3. Step 3: Cross multiply
    171,290.24x = 256,658.88 × 105,488
  4. Step 4: Simplify right side
    171,290.24x = 27,074,431,933.44
  5. Step 5: Solve for x
    x = 27,074,431,933.44/171,290.24
  6. Step 6: Final answer
    x = 158,061.73

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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.