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Finding the Fourth Proportional to 281,405.02, 421,999.82 and 139,201.48

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Solution

The fourth proportional to 281,405.02, 421,999.82 and 139,201.48 is: 208,748.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,405.02 : 421,999.82 = 139,201.48 : x
  2. Step 2: Convert to fraction form
    281,405.02/421,999.82 = 139,201.48/x
  3. Step 3: Cross multiply
    281,405.02x = 421,999.82 × 139,201.48
  4. Step 4: Simplify right side
    281,405.02x = 58,742,999,503.73
  5. Step 5: Solve for x
    x = 58,742,999,503.73/281,405.02
  6. Step 6: Final answer
    x = 208,748.94

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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.