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Finding the Fourth Proportional to 154,487.63, 231,819.11 and 83,409.32

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Solution

The fourth proportional to 154,487.63, 231,819.11 and 83,409.32 is: 125,161.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,487.63 : 231,819.11 = 83,409.32 : x
  2. Step 2: Convert to fraction form
    154,487.63/231,819.11 = 83,409.32/x
  3. Step 3: Cross multiply
    154,487.63x = 231,819.11 × 83,409.32
  4. Step 4: Simplify right side
    154,487.63x = 19,335,874,328.11
  5. Step 5: Solve for x
    x = 19,335,874,328.11/154,487.63
  6. Step 6: Final answer
    x = 125,161.31

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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.