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Finding the Fourth Proportional to 206,815.70, 310,223.55 and 135,956.90

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Solution

The fourth proportional to 206,815.70, 310,223.55 and 135,956.90 is: 203,935.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,815.70 : 310,223.55 = 135,956.90 : x
  2. Step 2: Convert to fraction form
    206,815.70/310,223.55 = 135,956.90/x
  3. Step 3: Cross multiply
    206,815.70x = 310,223.55 × 135,956.90
  4. Step 4: Simplify right side
    206,815.70x = 42,177,032,165.00
  5. Step 5: Solve for x
    x = 42,177,032,165.00/206,815.70
  6. Step 6: Final answer
    x = 203,935.35

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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.