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Finding the Fourth Proportional to 206,840.34, 285,575.49 and 130,474.26

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Solution

The fourth proportional to 206,840.34, 285,575.49 and 130,474.26 is: 180,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,840.34 : 285,575.49 = 130,474.26 : x
  2. Step 2: Convert to fraction form
    206,840.34/285,575.49 = 130,474.26/x
  3. Step 3: Cross multiply
    206,840.34x = 285,575.49 × 130,474.26
  4. Step 4: Simplify right side
    206,840.34x = 37,260,250,731.89
  5. Step 5: Solve for x
    x = 37,260,250,731.89/206,840.34
  6. Step 6: Final answer
    x = 180,140.15

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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.