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Finding the Fourth Proportional to 252,707.98, 378,734.76 and 102,774.11

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Solution

The fourth proportional to 252,707.98, 378,734.76 and 102,774.11 is: 154,028.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,707.98 : 378,734.76 = 102,774.11 : x
  2. Step 2: Convert to fraction form
    252,707.98/378,734.76 = 102,774.11/x
  3. Step 3: Cross multiply
    252,707.98x = 378,734.76 × 102,774.11
  4. Step 4: Simplify right side
    252,707.98x = 38,924,128,743.89
  5. Step 5: Solve for x
    x = 38,924,128,743.89/252,707.98
  6. Step 6: Final answer
    x = 154,028.09

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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.