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Finding the Fourth Proportional to 256,668.50, 385,041.03 and 106,823.47

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Solution

The fourth proportional to 256,668.50, 385,041.03 and 106,823.47 is: 160,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668.50 : 385,041.03 = 106,823.47 : x
  2. Step 2: Convert to fraction form
    256,668.50/385,041.03 = 106,823.47/x
  3. Step 3: Cross multiply
    256,668.50x = 385,041.03 × 106,823.47
  4. Step 4: Simplify right side
    256,668.50x = 41,131,418,916.97
  5. Step 5: Solve for x
    x = 41,131,418,916.97/256,668.50
  6. Step 6: Final answer
    x = 160,251.14

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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.