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Finding the Fourth Proportional to 257,668.01, 386,497.44 and 105,832.20

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Solution

The fourth proportional to 257,668.01, 386,497.44 and 105,832.20 is: 158,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,668.01 : 386,497.44 = 105,832.20 : x
  2. Step 2: Convert to fraction form
    257,668.01/386,497.44 = 105,832.20/x
  3. Step 3: Cross multiply
    257,668.01x = 386,497.44 × 105,832.20
  4. Step 4: Simplify right side
    257,668.01x = 40,903,874,369.57
  5. Step 5: Solve for x
    x = 40,903,874,369.57/257,668.01
  6. Step 6: Final answer
    x = 158,746.42

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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.