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Finding the Fourth Proportional to 178,679.22, 268,018.63 and 139,265.84

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Solution

The fourth proportional to 178,679.22, 268,018.63 and 139,265.84 is: 208,898.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,679.22 : 268,018.63 = 139,265.84 : x
  2. Step 2: Convert to fraction form
    178,679.22/268,018.63 = 139,265.84/x
  3. Step 3: Cross multiply
    178,679.22x = 268,018.63 × 139,265.84
  4. Step 4: Simplify right side
    178,679.22x = 37,325,837,954.34
  5. Step 5: Solve for x
    x = 37,325,837,954.34/178,679.22
  6. Step 6: Final answer
    x = 208,898.59

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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.