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Finding the Fourth Proportional to 234,539.64, 351,735.57 and 76,731.30

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Solution

The fourth proportional to 234,539.64, 351,735.57 and 76,731.30 is: 115,072.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,539.64 : 351,735.57 = 76,731.30 : x
  2. Step 2: Convert to fraction form
    234,539.64/351,735.57 = 76,731.30/x
  3. Step 3: Cross multiply
    234,539.64x = 351,735.57 × 76,731.30
  4. Step 4: Simplify right side
    234,539.64x = 26,989,127,542.34
  5. Step 5: Solve for x
    x = 26,989,127,542.34/234,539.64
  6. Step 6: Final answer
    x = 115,072.78

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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.