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Finding the Fourth Proportional to 154,390.50, 213,058.90 and 83,734.50

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Solution

The fourth proportional to 154,390.50, 213,058.90 and 83,734.50 is: 115,553.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,390.50 : 213,058.90 = 83,734.50 : x
  2. Step 2: Convert to fraction form
    154,390.50/213,058.90 = 83,734.50/x
  3. Step 3: Cross multiply
    154,390.50x = 213,058.90 × 83,734.50
  4. Step 4: Simplify right side
    154,390.50x = 17,840,380,462.05
  5. Step 5: Solve for x
    x = 17,840,380,462.05/154,390.50
  6. Step 6: Final answer
    x = 115,553.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.