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Finding the Fourth Proportional to 135,638.60, 203,652.30 and 102,590.60

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Solution

The fourth proportional to 135,638.60, 203,652.30 and 102,590.60 is: 154,032.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,638.60 : 203,652.30 = 102,590.60 : x
  2. Step 2: Convert to fraction form
    135,638.60/203,652.30 = 102,590.60/x
  3. Step 3: Cross multiply
    135,638.60x = 203,652.30 × 102,590.60
  4. Step 4: Simplify right side
    135,638.60x = 20,892,811,648.38
  5. Step 5: Solve for x
    x = 20,892,811,648.38/135,638.60
  6. Step 6: Final answer
    x = 154,032.93

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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.