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Finding the Fourth Proportional to 281,456.55, 421,652.01 and 139,136.31

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Solution

The fourth proportional to 281,456.55, 421,652.01 and 139,136.31 is: 208,441.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,456.55 : 421,652.01 = 139,136.31 : x
  2. Step 2: Convert to fraction form
    281,456.55/421,652.01 = 139,136.31/x
  3. Step 3: Cross multiply
    281,456.55x = 421,652.01 × 139,136.31
  4. Step 4: Simplify right side
    281,456.55x = 58,667,104,775.48
  5. Step 5: Solve for x
    x = 58,667,104,775.48/281,456.55
  6. Step 6: Final answer
    x = 208,441.07

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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.