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Finding the Fourth Proportional to 257,521.44, 386,453.52 and 105,842.91

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Solution

The fourth proportional to 257,521.44, 386,453.52 and 105,842.91 is: 158,834.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,521.44 : 386,453.52 = 105,842.91 : x
  2. Step 2: Convert to fraction form
    257,521.44/386,453.52 = 105,842.91/x
  3. Step 3: Cross multiply
    257,521.44x = 386,453.52 × 105,842.91
  4. Step 4: Simplify right side
    257,521.44x = 40,903,365,136.54
  5. Step 5: Solve for x
    x = 40,903,365,136.54/257,521.44
  6. Step 6: Final answer
    x = 158,834.80

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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.