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Finding the Fourth Proportional to 103,202.55, 154,654.42 and 71,148.72

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Solution

The fourth proportional to 103,202.55, 154,654.42 and 71,148.72 is: 106,620.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,202.55 : 154,654.42 = 71,148.72 : x
  2. Step 2: Convert to fraction form
    103,202.55/154,654.42 = 71,148.72/x
  3. Step 3: Cross multiply
    103,202.55x = 154,654.42 × 71,148.72
  4. Step 4: Simplify right side
    103,202.55x = 11,003,463,590.84
  5. Step 5: Solve for x
    x = 11,003,463,590.84/103,202.55
  6. Step 6: Final answer
    x = 106,620.07

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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.