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Finding the Fourth Proportional to 102,912.53, 154,209.38 and 71,383.89

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Solution

The fourth proportional to 102,912.53, 154,209.38 and 71,383.89 is: 106,965.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.53 : 154,209.38 = 71,383.89 : x
  2. Step 2: Convert to fraction form
    102,912.53/154,209.38 = 71,383.89/x
  3. Step 3: Cross multiply
    102,912.53x = 154,209.38 × 71,383.89
  4. Step 4: Simplify right side
    102,912.53x = 11,008,064,881.74
  5. Step 5: Solve for x
    x = 11,008,064,881.74/102,912.53
  6. Step 6: Final answer
    x = 106,965.25

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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.